A New Digital Signature Scheme over Non-Commutative Integral Group Rings

Turgut Hanoymak · International journal of mathematics and computer science · 2025

In this paper, we propose a new digital signature scheme constructed over integral group rings, relying on the hardness of the Conjugacy Search Problem (CSP) and incorporating a cryptographic hash function to map arbitrary messages into the integral group ring. The construction is described in detail and supported by a concrete example. A brief security analysis is also provided, showing resistance to several potential attack scenarios.

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