Word Transformations Using Left Quasigroups

A. A. Veselova

Volgograd State Socio-Pedagogical University

Abstract: Two word transformations using a finite left quasigroup are proposed. Algebraic properties of left quasigroups such as polynomial completeness and the absence of nontrivial congruences are investigated. These properties may play an important role in the analysis and design of cryptographic schemes based on left quasigroups.

Keywords: left quasigroup, transformation, congruence.

UDC: 512.5

Received: 10.03.2024
Revised: 02.10.2024

DOI: 10.4213/mzm14307

 English version: Mathematical Notes, 2025, 118:3, 488–496

Bibliographic databases:

•