Coding theory applied to KU-algebras
Samy M. Mostafa, Bayumy A. Youssef, Hussein A. Jad
TL;DR
This paper introduces KU-valued functions and explores their properties, establishes codes generated by these functions, and presents an algorithm to derive KU-algebras from binary block codes.
Contribution
It introduces KU-valued functions, investigates their properties, and provides a novel algorithm to construct KU-algebras from binary codes.
Findings
Defined KU-valued functions and their properties
Established codes generated by KU-valued functions
Provided an algorithm to find KU-algebras from binary block codes
Abstract
The notion of a KU-valued function on a set is introduced and related properties are investigated. Codes generated by KU-valued functions are established. Moreover, we will provide an algorithm which allows us to find a KU-algebra starting from a given binary block code.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic