On the Structure of Constacyclic Codes of Length ps over F

نویسندگان

  • Somphong Jitman
  • Patanee Udomkavanich
  • P. Udomkavanich
چکیده

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 distances.

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تاریخ انتشار 2010