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• W2952145826 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." @default.
• W2952145826 created "2019-06-27" @default.
• W2952145826 creator A5025203563 @default.
• W2952145826 creator A5036540193 @default.
• W2952145826 date "2005-06-10" @default.
• W2952145826 modified "2023-09-27" @default.
• W2952145826 title "Constructions in public-key cryptography over matrix groups" @default.
• W2952145826 cites W135053117 @default.
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