Cryptographic key distribution algorithms


cryptographic system, discrete logarithm problem, Diffie-Helmann-Merkel key exchange, Stickel – Shpilrain protocol, man-in-the-middle attack, abelian and non-abelian groups

How to Cite

CHIRIAC, L., JOSU, N., & BOGDANOVA, V. (2024). Cryptographic key distribution algorithms. Acta Et Commentationes Sciences of Education , 36(2), 10-25.


This article examines public key exchange algorithms applying the Diffie-Helmann-Merkel algorithm for commutative groups and the Stickel-Shpilrain algorithm for non-commutative groups. The protocols Diffie–Hellman–Merkel and Stickel–Spilrain key exchange are mathematical methods for the secure exchange of cryptographic keys over a public channel. The Diffie-Helmann-Merkel algorithm is one of the first public key protocols in cryptography. The authors examine the implementation of the respective algorithms through abelian and non-abelian algebraic structures based on the discrete logarithm problem. The man-in-the-middle attack is also examined. Examples are constructed that illustrate the operation of the mentioned algorithms
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