Constacyclic codes of length ps over Fpm+uFpm

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On the Structure of Constacyclic Codes of Length ps over F

Abstract We study the structure of constacyclic codes of length ps over the ring Fpk + uFpk + · · · + um−1Fpk in terms of ideals in the quotient ring (Fpk + uFpk + · · · + um−1Fpk)[x]/〈xp s − λ〉, where λ is a unit element in Fpk + uFpk + · · · + um−1Fpk . In particular, we complete a structural classification of constacyclic codes of length ps over Fpk + uFpk and determine their minimum Hamming...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2010

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2010.05.027