On Cyclic and Negacyclic Codes of Length 8ps Over Fpm + uFpm


Affiliations

  • S. A. Jain P. G. College, Department of Mathematics, Ambala, 134003, India

Abstract

In this paper, we establish the algebraic structure of all cyclic and negacyclic codes of length 8ps over the chain ring Fpm + uFpm in terms of their generator polynomials, where u2 = 0 and s is a positive integer and p is an odd prime. We also find out the number of codewords in each of these cyclic codes. Besides this, we determine duals of cyclic codes and list self-dual cyclic and negacyclic codes of length 8ps over Fpm + uFpm. Also, we determine μ and -constacyclic codes of length 8ps over Fpm + uFpm.

Keywords

Cyclic codes; negacyclic codes; constacyclic codes; dual codes; self-dual codes.

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