n-ary block codes related to KU-algebras

Abstract

In this paper, n-ary block codes for KU-algebras and their interconnecting properties in terms of block codes have been given. A construction of n-ary block codes for a given KU-algebra is shown, and it is proved that for each n-ary block code K we can associate a KU-algebra X, such that the constructed n-ary block codes generated by X, i.e. $K_x, $ contain the code K as a subset. We have proved that for every n-ary block-code K, there exists a KU-valued function on a KU-algebra which determines K. It is also shown that the KU-algebras associated with an n-ary block code are not unique up to isomorphism.

Keywords

• ku-algebra
• n-ary block codes
• generalized cut functions