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Homomorphic public-key cryptosystems and encrypting boolean circuits

Dima Grigoriev·Ilia Ponomarenko
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Abstract

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 logarithmic depth its encrypted simulation of a polynomial size over an appropriate finitely generated group.

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Dima Grigoriev, Ilia Ponomarenko. 2003-02-28. Homomorphic public-key cryptosystems and encrypting boolean circuits. https://arxiv.org/abs/cs/0301022

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