Some connections between BCK algebras and n ary block codes
A. Borumand Saeid, Cristina Flaut, Sarka Hoskova-Mayerova,, Roxana-Lavinia Cristea, M. Afshar, M. Kuchaki Rafsanjani
TL;DR
This paper explores the relationship between BCK-algebras and n-ary block codes, extending previous binary code results and introducing an algorithm to construct BCK-algebras from n-ary codes.
Contribution
It generalizes the connection between BCK-algebras and block codes to n-ary codes and provides a new algorithm for constructing BCK-algebras from these codes.
Findings
Established a method to derive BCK-algebras from n-ary block codes
Extended binary code-BCK algebra connections to n-ary codes
Provided an algorithm for BCK-algebra construction from n-ary codes
Abstract
In the last time some papers were devoted to the study of the con- nections between binary block codes and BCK-algebras. In this paper, we try to generalize these results to n-ary block codes, providing an algorithm which allows us to construct a BCK-algebra from a given n-ary block code.
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