Construction of Codes By Hyper KU-Valued Functions

Coding Theory is a mathematical domain with many applications in Information theory. Various type of codes and their connections with other mathematical objects have been intensively studied. One of these applications, namely connections between binary block codes and BCK-algebras, was recently studied in (Jun, Song,  Flaut ).In this paper, we will focus to one of the recent applications of KU-algebras in the coding theory, namely the Construction of codes by hyper KU-valued functions. First, we shall introduce the notion of hyper KU -valued functions, on a set and  investigate some of it’s related properties. Moreover the codes generated by a hyper  K U- valued function are constructed and several Examples are given. Furthermore, Example with graphs of binary block code constructed from a hyper  KU-algebra and hyper KU-algebra are constructed