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