n-ary block codes related to KU-algebras

• Published in: Journal of Taibah University for Science Vol. 14; no. 1; pp. 172 - 176
• Main Authors: Koam, Ali N. A., Ansari, Moin A., Haider, Azeem
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 01.01.2020; Taylor & Francis Group
• Subjects: generalized cut functions; KU-algebra; n-ary block codes
• ISSN: 1658-3655; 1658-3655
• DOI: 10.1080/16583655.2020.1713585

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. 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.