$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS

Abstract

The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes.  In this paper, we study constacyclic codes over finite Krasner hyperfields in which we characterize them by their generating polynomial. Moreover, we study the dual of these codes by finding their parity check polynomial.