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Constructions in public-key cryptography over matrix groups | Dimitri Grigoriev
; Ilia Ponomarenko
; | Date: |
10 Jun 2005 | Subject: | Group Theory; Cryptography and Security | math.GR cs.CR math-ph math.MP | Affiliation: | IRMAR | Abstract: | The purpose of the paper is to give new key agreement protocols (a multi-party extension of the protocol due to Anshel-Anshel-Goldfeld and a generalization of the Diffie-Hellman protocol from abelian to solvable groups) and a new homomorphic public-key cryptosystem. They rely on difficulty of the conjugacy and membership problems for subgroups of a given group. To support these and other known cryptographic schemes we present a general technique to produce a family of instances being matrix groups (over finite commutative rings) which play a role for these schemes similar to the groups $Z\_n^*$ in the existing cryptographic constructions like RSA or discrete logarithm. | Source: | arXiv, math.GR/0506180 | Services: | Forum | Review | PDF | Favorites |
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