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JOURNALS // Prikladnaya Diskretnaya Matematika. Supplement // Archive

Prikl. Diskr. Mat. Suppl., 2025 Issue 18, Pages 178–182 (Mi pdma708)

Mathematical Methods of Cryptography

A construction of Diffie — Hellman protocol with noncommutative operations

A. V. Cheremushkin


Abstract: If we have two noncommutative medial monoids $(K,\circ)$ and $(K,\ast)$ with general medial identity, then we can construct Diffie — Hellman like protocol for two parties deals with its own binary operation. Each side can use an arbitrary form to calculate the degree of the monoid's element.

Keywords: Diffie — Hellman protocol, noncommutative medial operattion.

UDC: 519.719.1

DOI: 10.17223/2226308X/18/36



© Steklov Math. Inst. of RAS, 2026