On Category of Linear Codes.

Autor: Keshavarzian, N., Borumand Saeid, A., Tehranian, A.
Předmět:
Zdroj: New Mathematics & Natural Computation; Nov2022, Vol. 18 Issue 3, p871-887, 17p
Abstrakt: Recently, a number of researches studied relationship between codes and BCK-algebras, dealing with the category codes in a BCK-algebra have not been considered in earlier works. This paper investigates a code constructed by a BCK-algebra and also a BCK-algebra constructed based on code. The suggested rendered algorithm constructs the code based on BCK-algebra, the fixed dimension of this code is guaranteed by a BCK-algebra with some condition. We introduce the category of linear codes and denoted by LC. In addition, a subcategory of BCK-algebra is described and denoted by E BCK . Finally, we prove that LC is equivalent to E BCK . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index