6 citations · 11 across the 4 of their papers we have counts for
4 papers
Constructions in public-key cryptography over matrix groups
Dimitri Grigoriev, Ilia Ponomarenko
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 pr…
Homomorphic public-key cryptosystems over groups and rings
Dima Grigoriev, Ilia Ponomarenko
We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membership problem for groups of integer matrices. Besid…
Homomorphic public-key cryptosystems and encrypting boolean circuits
Dima Grigoriev, Ilia Ponomarenko
In this paper homomorphic cryptosystems are designed for the first time over any finite group. Applying Barrington's construction we produce for any boolean circuit of the logarith…
On non-abelian homomorphic public-key cryptosystems
D. Grigoriev, I. Ponomarenko
An important problem of modern cryptography concerns secret public-key computations in algebraic structures. We construct homomorphic cryptosystems being (secret) epimorphisms f:G…