Abstract
This research presents a novel key agreement protocol leveraging the rich mathematical structure of conjugacy classes within groups. We propose a key agreement protocol based on finitely generated group drawing inspiration from algebraic cryptography, specifically group theory, to establish a secure and efficient means of key exchange. Through the utilization of conjugacy classes, the protocol aims to enhance the security of cryptographic systems while addressing computational efficiency concerns. This study contributes to the intersection of mathematics and cryptography by providing a robust foundation for secure communication protocols.
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