Jump to content

Even code

Add links
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by CorbinSimpson (talk | contribs) at 15:21, 11 April 2006 (Stubbing PlanetMath article. Yuck.). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

A binary code is called an even code if the Hamming weight of all its codewords is even. Furthermore, a binary code is called doubly-even if the Hamming weight of all its codewords is divisible by 4. An even code which is not doubly-even is said to be strictly even.

Examples of doubly-even codes are the extended binary Hamming code of block length 8 and the extended binary Golay code of block length 24. These two codes are, in addition, self-dual.

even code at PlanetMath.

Stub icon

This mathematics-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Even_code&oldid=47965125"