Some connections between BCK algebras and n ary block codes

2016/08/12 by Saeid, A. Borumand, Flaut, Cristina, Hoskova-Mayerova, Sarka +3
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1608.03684

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.

Related

• On Codes based on BCK-algebras
• BCK-algebras arising from block codes
• Wajsberg algebras arising from binary block codes
• Codes over subsets of algebras obtained by the Cayley-Dickson process
• Coding theory applied to KU-algebras