Torus-based cryptography

Torus based cryptography involves using algebraic tori to construct a group for use in ciphers based on the discrete logarithm problem. This idea was first introduced by Alice Silverberg and Karl Rubin in 2003 in the form of a public key algorithm by the name of CEILIDH. It improves on conventional cryptosystems by representing some elements of large finite fields compactly and therefore transmiting fewer bits.

References

• Karl Rubin, Alice Silverberg: Torus-Based Cryptography. CRYPTO 2003: 349–365

External links

• Torus-Based Cryptography — the paper introducing the concept (in PDF).