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arXiv 2003-09-08 1 views

Homomorphic public-key cryptosystems over groups and rings

Grigoriev, Dima · Ponomarenko, Ilia

Original · EN

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. Besides, a homomorphic cryptosystem is designed for the first time over finite commutative rings.

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