https://de.wikipedia.org/w/index.php?action=history&feed=atom&title=Optimaler_Code
Optimaler Code - Versionsgeschichte
2025-05-30T00:34:27Z
Versionsgeschichte dieser Seite in Wikipedia
MediaWiki 1.45.0-wmf.3
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=209198359&oldid=prev
Aka: https, Leerzeichen in Überschrift
2021-02-25T18:31:43Z
<p>https, Leerzeichen in Überschrift</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 25. Februar 2021, 20:31 Uhr</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>==<ins style="font-weight: bold; text-decoration: none;"> </ins>Siehe auch<ins style="font-weight: bold; text-decoration: none;"> </ins>==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Perfekter Code]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Perfekter Code]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [<del style="font-weight: bold; text-decoration: none;">http</del>://www.win.tue.nl/~aeb/codes/binary-1.html Schranken für binäre Codes (''q''=2)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [<ins style="font-weight: bold; text-decoration: none;">https</ins>://www.win.tue.nl/~aeb/codes/binary-1.html Schranken für binäre Codes (''q''=2)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [<del style="font-weight: bold; text-decoration: none;">http</del>://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (''q''=3)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [<ins style="font-weight: bold; text-decoration: none;">https</ins>://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (''q''=3)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [<del style="font-weight: bold; text-decoration: none;">http</del>://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [<ins style="font-weight: bold; text-decoration: none;">https</ins>://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [<del style="font-weight: bold; text-decoration: none;">http</del>://www.win.tue.nl/~aeb/codes/5ary-1.html Schranken für quinternäre Codes (''q''=5)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [<ins style="font-weight: bold; text-decoration: none;">https</ins>://www.win.tue.nl/~aeb/codes/5ary-1.html Schranken für quinternäre Codes (''q''=5)]</div></td>
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Aka
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=156394026&oldid=prev
Frank Klemm am 23. Juli 2016 um 17:57 Uhr
2016-07-23T17:57:58Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 23. Juli 2016, 19:57 Uhr</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*<ins style="font-weight: bold; text-decoration: none;"> </ins>[[Perfekter Code]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*[[MDS-Code]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*<ins style="font-weight: bold; text-decoration: none;"> </ins>[[MDS-Code]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (''q''=3)]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (''q''=3)]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (''q''=5)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary<ins style="font-weight: bold; text-decoration: none;">-1</ins>.html Schranken für quinternäre Codes (''q''=5)]</div></td>
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Frank Klemm
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=154066866&oldid=prev
TaxonBot: kf
2016-05-03T16:04:17Z
<p>kf</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Mai 2016, 18:04 Uhr</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (''q''=5)]</div></td>
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TaxonBot
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=153381765&oldid=prev
Invisigoth67: form
2016-04-11T14:37:26Z
<p>form</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 11. April 2016, 16:37 Uhr</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
</tr>
<tr>
<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker"><a class="mw-diff-movedpara-right" title="Der Absatz wurde verschoben. Klicken, um zur alten Stelle zu springen." href="#movedpara_3_1_lhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_1_1_rhs"></a>==Siehe auch==</div></td>
</tr>
<tr>
<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker"><a class="mw-diff-movedpara-right" title="Der Absatz wurde verschoben. Klicken, um zur alten Stelle zu springen." href="#movedpara_3_2_lhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_1_2_rhs"></a>*[[Perfekter Code]]</div></td>
</tr>
<tr>
<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker"><a class="mw-diff-movedpara-right" title="Der Absatz wurde verschoben. Klicken, um zur alten Stelle zu springen." href="#movedpara_3_3_lhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_1_3_rhs"></a>*[[MDS-Code]]</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
</tr>
<tr>
<td colspan="2" class="diff-lineno">Zeile 11:</td>
<td colspan="2" class="diff-lineno">Zeile 15:</td>
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<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (''q''=4)]</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (''q''=5)]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (''q''=5)]</div></td>
</tr>
<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td colspan="2" class="diff-empty diff-side-added"></td>
</tr>
<tr>
<td class="diff-marker"><a class="mw-diff-movedpara-left" title="Der Absatz wurde verschoben. Klicken, um zur neuen Stelle zu springen." href="#movedpara_1_1_rhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_3_1_lhs"></a>==Siehe auch==</div></td>
<td colspan="2" class="diff-empty diff-side-added"></td>
</tr>
<tr>
<td class="diff-marker"><a class="mw-diff-movedpara-left" title="Der Absatz wurde verschoben. Klicken, um zur neuen Stelle zu springen." href="#movedpara_1_2_rhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_3_2_lhs"></a>*[[Perfekter Code]]</div></td>
<td colspan="2" class="diff-empty diff-side-added"></td>
</tr>
<tr>
<td class="diff-marker"><a class="mw-diff-movedpara-left" title="Der Absatz wurde verschoben. Klicken, um zur neuen Stelle zu springen." href="#movedpara_1_3_rhs">⚫</a></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><a name="movedpara_3_3_lhs"></a>*[[MDS-Code]]</div></td>
<td colspan="2" class="diff-empty diff-side-added"></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
</tr>
</table>
Invisigoth67
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=99502701&oldid=prev
Gary Dee: BKL aufgelöst: Parameter → Parameter (Statistik)
2012-02-10T16:49:17Z
<p>BKL aufgelöst: <a href="/wiki/Parameter" title="Parameter">Parameter</a> → <a href="/wiki/Parameter_(Statistik)" title="Parameter (Statistik)">Parameter (Statistik)</a></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="de">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 10. Februar 2012, 18:49 Uhr</td>
</tr><tr>
<td colspan="2" class="diff-lineno">Zeile 2:</td>
<td colspan="2" class="diff-lineno">Zeile 2:</td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
</tr>
<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Seien ''n'', ''d'' und ''q'' [[natürliche Zahl]]en. Ein [[Blockcode]] ''C'' der Länge ''n'' über einem ''q''-nären Zeichenvorrat mit einem [[Hamming-Abstand|Mindestabstand]] ''d'' heißt dann '''optimal''', wenn die Anzahl der Codewörter von ''C'' unter allen Codes mit diesen [[Parameter]]n maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit ''A''<sub>q</sub>(''n'',''d'') bezeichnet.</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Seien ''n'', ''d'' und ''q'' [[natürliche Zahl]]en. Ein [[Blockcode]] ''C'' der Länge ''n'' über einem ''q''-nären Zeichenvorrat mit einem [[Hamming-Abstand|Mindestabstand]] ''d'' heißt dann '''optimal''', wenn die Anzahl der Codewörter von ''C'' unter allen Codes mit diesen [[<ins style="font-weight: bold; text-decoration: none;">Parameter (Statistik)|</ins>Parameter]]n maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit ''A''<sub>q</sub>(''n'',''d'') bezeichnet.</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
</tr>
</table>
Gary Dee
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=99502678&oldid=prev
Gary Dee am 10. Februar 2012 um 16:48 Uhr
2012-02-10T16:48:31Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="de">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 10. Februar 2012, 18:48 Uhr</td>
</tr><tr>
<td colspan="2" class="diff-lineno">Zeile 2:</td>
<td colspan="2" class="diff-lineno">Zeile 2:</td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
</tr>
<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Seien ''n'', ''d'' und ''q'' [[natürliche Zahl]]en. Ein [[Blockcode]] ''C'' der Länge ''n'' über einem ''q''-nären Zeichenvorrat mit einem [[Hamming-Abstand|Mindestabstand]] ''d'' heißt dann '''optimal''', wenn die Anzahl der Codewörter von ''C'' unter allen Codes mit diesen <del style="font-weight: bold; text-decoration: none;">Parametern</del> maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit ''A''<sub>q</sub>(''n'',''d'') bezeichnet.</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Seien ''n'', ''d'' und ''q'' [[natürliche Zahl]]en. Ein [[Blockcode]] ''C'' der Länge ''n'' über einem ''q''-nären Zeichenvorrat mit einem [[Hamming-Abstand|Mindestabstand]] ''d'' heißt dann '''optimal''', wenn die Anzahl der Codewörter von ''C'' unter allen Codes mit diesen <ins style="font-weight: bold; text-decoration: none;">[[Parameter]]n</ins> maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit ''A''<sub>q</sub>(''n'',''d'') bezeichnet.</div></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von ''A''<sub>q</sub>(''n'',''d'') für vorgegebene Parameter ''n'', ''d'' und ''q'' ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
</tr>
</table>
Gary Dee
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=48241017&oldid=prev
Wdwd: -Math Formelsatz aus Fliesstext, Wikilinks
2008-07-10T20:38:07Z
<p>-Math Formelsatz aus Fliesstext, Wikilinks</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 10. Juli 2008, 22:38 Uhr</td>
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<td colspan="2" class="diff-lineno">Zeile 2:</td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
</tr>
<tr>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
</tr>
<tr>
<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Seien <del style="font-weight: bold; text-decoration: none;"><math></del>n,d<del style="font-weight: bold; text-decoration: none;">,</del>q<del style="font-weight: bold; text-decoration: none;"></math></del> natürliche <del style="font-weight: bold; text-decoration: none;">Zahlen</del>. Ein Blockcode <del style="font-weight: bold; text-decoration: none;"><math></del>C<del style="font-weight: bold; text-decoration: none;"></math></del> der Länge <del style="font-weight: bold; text-decoration: none;"><math></del>n<del style="font-weight: bold; text-decoration: none;"></math></del> über einem <del style="font-weight: bold; text-decoration: none;"><math></del>q<del style="font-weight: bold; text-decoration: none;"></math></del>-nären Zeichenvorrat mit einem Mindestabstand <del style="font-weight: bold; text-decoration: none;"><math></del>d<del style="font-weight: bold; text-decoration: none;"></math></del> heißt '''optimal''', wenn die Anzahl der Codewörter von <del style="font-weight: bold; text-decoration: none;"><math></del>C<del style="font-weight: bold; text-decoration: none;"></math></del> unter allen Codes mit diesen Parametern maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit <<del style="font-weight: bold; text-decoration: none;">math</del>><del style="font-weight: bold; text-decoration: none;">A_q</del>(n,d)<del style="font-weight: bold; text-decoration: none;"></math></del> bezeichnet.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Seien <ins style="font-weight: bold; text-decoration: none;">''</ins>n<ins style="font-weight: bold; text-decoration: none;">''</ins>,<ins style="font-weight: bold; text-decoration: none;"> ''</ins>d<ins style="font-weight: bold; text-decoration: none;">'' und ''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins> <ins style="font-weight: bold; text-decoration: none;">[[</ins>natürliche <ins style="font-weight: bold; text-decoration: none;">Zahl]]en</ins>. Ein <ins style="font-weight: bold; text-decoration: none;">[[</ins>Blockcode<ins style="font-weight: bold; text-decoration: none;">]]</ins> <ins style="font-weight: bold; text-decoration: none;">''</ins>C<ins style="font-weight: bold; text-decoration: none;">''</ins> der Länge <ins style="font-weight: bold; text-decoration: none;">''</ins>n<ins style="font-weight: bold; text-decoration: none;">''</ins> über einem <ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins>-nären Zeichenvorrat mit einem <ins style="font-weight: bold; text-decoration: none;">[[Hamming-Abstand|</ins>Mindestabstand<ins style="font-weight: bold; text-decoration: none;">]]</ins> <ins style="font-weight: bold; text-decoration: none;">''</ins>d<ins style="font-weight: bold; text-decoration: none;">''</ins> heißt<ins style="font-weight: bold; text-decoration: none;"> dann</ins> '''optimal''', wenn die Anzahl der Codewörter von <ins style="font-weight: bold; text-decoration: none;">''</ins>C<ins style="font-weight: bold; text-decoration: none;">''</ins> unter allen Codes mit diesen Parametern maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit <ins style="font-weight: bold; text-decoration: none;">''A''</ins><<ins style="font-weight: bold; text-decoration: none;">sub>q</sub</ins>>(<ins style="font-weight: bold; text-decoration: none;">''</ins>n<ins style="font-weight: bold; text-decoration: none;">''</ins>,<ins style="font-weight: bold; text-decoration: none;">''</ins>d<ins style="font-weight: bold; text-decoration: none;">''</ins>) bezeichnet.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <<del style="font-weight: bold; text-decoration: none;">math</del>><del style="font-weight: bold; text-decoration: none;">A_q</del>(n,d)<del style="font-weight: bold; text-decoration: none;"></math></del> für vorgegebene Parameter <del style="font-weight: bold; text-decoration: none;"><math></del>n<del style="font-weight: bold; text-decoration: none;"></math></del>, <del style="font-weight: bold; text-decoration: none;"><math></del>d<del style="font-weight: bold; text-decoration: none;"></math></del> und <del style="font-weight: bold; text-decoration: none;"><math></del>q<del style="font-weight: bold; text-decoration: none;"></math></del> ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <ins style="font-weight: bold; text-decoration: none;">''A''</ins><<ins style="font-weight: bold; text-decoration: none;">sub>q</sub</ins>>(<ins style="font-weight: bold; text-decoration: none;">''</ins>n<ins style="font-weight: bold; text-decoration: none;">''</ins>,<ins style="font-weight: bold; text-decoration: none;">''</ins>d<ins style="font-weight: bold; text-decoration: none;">''</ins>) für vorgegebene Parameter <ins style="font-weight: bold; text-decoration: none;">''</ins>n<ins style="font-weight: bold; text-decoration: none;">''</ins>, <ins style="font-weight: bold; text-decoration: none;">''</ins>d<ins style="font-weight: bold; text-decoration: none;">''</ins> und <ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins> ist in der Regel sehr schwierig. In vielen Fällen kennt man nur untere und obere Schranken, die oft weit voneinander entfernt liegen.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/binary-1.html Schranken für binäre Codes (<del style="font-weight: bold; text-decoration: none;"><math></del>q=2<del style="font-weight: bold; text-decoration: none;"></math></del>)]</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/binary-1.html Schranken für binäre Codes (<ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins>=2)]</div></td>
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<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (<del style="font-weight: bold; text-decoration: none;"><math></del>q=3<del style="font-weight: bold; text-decoration: none;"></math></del>)]</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (<ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins>=3)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (<del style="font-weight: bold; text-decoration: none;"><math></del>q=4<del style="font-weight: bold; text-decoration: none;"></math></del>)]</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (<ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins>=4)]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (<del style="font-weight: bold; text-decoration: none;"><math></del>q=5<del style="font-weight: bold; text-decoration: none;"></math></del>)]</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (<ins style="font-weight: bold; text-decoration: none;">''</ins>q<ins style="font-weight: bold; text-decoration: none;">''</ins>=5)]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[MDS-Code]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[MDS-Code]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
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Wdwd
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=46197256&oldid=prev
Edoc am 18. Mai 2008 um 15:42 Uhr
2008-05-18T15:42:05Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 18. Mai 2008, 17:42 Uhr</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Definition ==</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Seien <math>n,d,q</math> natürliche Zahlen. Ein Blockcode <math>C</math> der Länge <math>n</math> über einem <math>q</math>-nären Zeichenvorrat mit Mindestabstand <math>d</math> heißt '''optimal''', wenn die Anzahl der Codewörter von <math>C</math> unter <del style="font-weight: bold; text-decoration: none;">den</del> Codes mit diesen Parametern maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit <math><del style="font-weight: bold; text-decoration: none;">R</del>(n,d<del style="font-weight: bold; text-decoration: none;">,q</del>)</math> bezeichnet.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Seien <math>n,d,q</math> natürliche Zahlen. Ein Blockcode <math>C</math> der Länge <math>n</math> über einem <math>q</math>-nären Zeichenvorrat mit<ins style="font-weight: bold; text-decoration: none;"> einem</ins> Mindestabstand <math>d</math> heißt '''optimal''', wenn die Anzahl der Codewörter von <math>C</math> unter <ins style="font-weight: bold; text-decoration: none;">allen</ins> Codes mit diesen Parametern maximal ist. Die Anzahl der Codewörter eines optimalen Codes wird mit <math><ins style="font-weight: bold; text-decoration: none;">A_q</ins>(n,d)</math> bezeichnet.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <math><del style="font-weight: bold; text-decoration: none;">R</del>(n,d<del style="font-weight: bold; text-decoration: none;">,q</del>)</math> für <del style="font-weight: bold; text-decoration: none;">konkrete</del> Parameter <math>n</math>, <math>d</math> und <math>q</math> ist in der Regel sehr schwierig. In <del style="font-weight: bold; text-decoration: none;">den meisten</del> Fällen kennt man nur Schranken.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <math><ins style="font-weight: bold; text-decoration: none;">A_q</ins>(n,d)</math> für <ins style="font-weight: bold; text-decoration: none;">vorgegebene</ins> Parameter <math>n</math>, <math>d</math> und <math>q</math> ist in der Regel sehr schwierig. In <ins style="font-weight: bold; text-decoration: none;">vielen</ins> Fällen kennt man nur<ins style="font-weight: bold; text-decoration: none;"> untere und obere</ins> Schranken<ins style="font-weight: bold; text-decoration: none;">, die oft weit voneinander entfernt liegen</ins>.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== Weblinks ==</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/binary-1.html Schranken für binäre Codes (<math>q=2</math>)]</div></td>
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<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/ternary-1.html Schranken für ternäre Codes (<math>q=3</math>)]</div></td>
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<td colspan="2" class="diff-empty diff-side-deleted"></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/quaternary-1.html Schranken für quaternäre Codes (<math>q=4</math>)]</div></td>
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<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.win.tue.nl/~aeb/codes/5ary.html Schranken für quinternäre Codes (<math>q=5</math>)]</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
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Edoc
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=42275961&oldid=prev
88.73.29.122: /* Siehe auch */
2008-02-09T01:35:56Z
<p><span class="autocomment">Siehe auch</span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 9. Februar 2008, 03:35 Uhr</td>
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<td colspan="2" class="diff-lineno">Zeile 8:</td>
<td colspan="2" class="diff-lineno">Zeile 8:</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[[MDS-Code]]</div></td>
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<td class="diff-marker" data-marker="−"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
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88.73.29.122
https://de.wikipedia.org/w/index.php?title=Optimaler_Code&diff=40108857&oldid=prev
84.56.182.147: Perfekter Code
2007-12-15T22:55:24Z
<p><a href="/wiki/Perfekter_Code" title="Perfekter Code">Perfekter Code</a></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 16. Dezember 2007, 00:55 Uhr</td>
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<td colspan="2" class="diff-lineno">Zeile 5:</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <math>R(n,d,q)</math> für konkrete Parameter <math>n</math>, <math>d</math> und <math>q</math> ist in der Regel sehr schwierig. In den meisten Fällen kennt man nur Schranken.</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Die Bestimmung von <math>R(n,d,q)</math> für konkrete Parameter <math>n</math>, <math>d</math> und <math>q</math> ist in der Regel sehr schwierig. In den meisten Fällen kennt man nur Schranken.</div></td>
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<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>==Siehe auch==</div></td>
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<td colspan="2" class="diff-empty diff-side-deleted"></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*[[Perfekter Code]]</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie: Kodierungstheorie]]</div></td>
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84.56.182.147