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Homomorphic public-key cryptosystems over groups and rings

Dima Grigoriev·Ilia Ponomarenko
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Abstract

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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Dima Grigoriev, Ilia Ponomarenko. 2003-09-08. Homomorphic public-key cryptosystems over groups and rings. https://arxiv.org/abs/cs/0309010

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