Word Transformations Using Left Quasigroups

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.

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Publication Details

Journal
Mathematical Notes
Published
2025-10-01
DOI
https://doi.org/10.1134/s0001434625605003
Primary Topic
graph theory and CDMA systems
Type
article
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article

Word Transformations Using Left Quasigroups

A. A. Veselova
Mathematical Notes
graph theory and CDMA systems
article

Word Transformations Using Left Quasigroups

A. A. Veselova
article en

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.

Mathematical NotesVol. 118(3-4)
Volgograd State Pedagogical University (RU)
Reduced inequalities
Openalex Percentile: Top 42%
graph theory and CDMA systems
DOISourceOpenAlex
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Word Transformations Using Left Quasigroups — A. A. Veselova · Mathematical Notes (2025) | TGRS Research Map | TGRS