Key exchange protocol based on circulant matrix action over congruence-simple semiring

arXiv:2505.00664 · math.AC, cs.CR, cs.IT, math.IT · Submitted 2025-05-01 · Read on arXiv

math.AC, cs.CR, cs.IT, math.IT

Submitted: 2025-05-01

Updated: 2026-09-21

License: http://creativecommons.org/licenses/by/4.0/

The gist: We present a new key exchange protocol based on circulant matrices acting on matrices over a congruence-simple semiring.

Terminology

Abstract

We present a new key exchange protocol based on circulant matrices acting on matrices over a congruence-simple semiring. We describe how to compute matrices with the necessary properties for the implementation of the protocol. Additionally, we provide an analysis of its computational cost and its security against known attacks.

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