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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 177, Pages 80–86 (Mi into601)

On one-way ring homomorphisms

N. Inassaridzeabc, M. Khazaradzeb, È. V. Khmaladzeac, B. Mesablishvilica

a Tbilisi Ivane Javakhishvili State University
b Georgian Technical University
c A. Razmadze Mathematical Institute, Georgian Academy of Sciences

Abstract: In this article, we propose a new candidate for a one-way ring homomorphism induced by a one-way (non-abelian) group homomorphism. A multi-party digital signature scheme is also given as an application of the proposed one-way ring homomorphism.

Keywords: one-way homomorphism, group ring, multi-party digital signature scheme.

UDC: 512.552; 509.07; 289.23.15.25

MSC: 94A60, 94A62, 16S34

DOI: 10.36535/0233-6723-2020-177-80-86



© Steklov Math. Inst. of RAS, 2024