On Constacyclic Codes over Z_(p_1p_2…p_t)

【Author】

Derong XIE;Qunying LIAO;College of Mathematical Science, Sichuan Normal University;

【Institution】

College of Mathematical Science, Sichuan Normal University;

【Abstract】

Let t ≥ 2 be an integer, and let _(p_1, ···, p_t)be distinct primes. By using algebraic properties, the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Z_(p_1p_2···p_t)and the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over Z_(p_1p_2···p_t).

【Keywords】

Ideal;;Isomorphism;;Constacyclic code;;Self-orthogonal code;;Self-orthogonal cyclic code

References

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Springer Journals Database

Total: 5 articles

  • [1] Qun Ying LIAO;Yan Bin LI;Huan LIAO;Institute of Mathematics and Software Science,Sichuan Normal University;, The Existence for Self-Orthogonal Cyclic Codes over Finite Fields, Acta Mathematica Sinica,
  • [2] Hai Q. Dinh, Constacyclic codes of length p s over F p m + u F p m, Journal of Algebra,
  • [3] Shixin Zhu;;Xiaoshan Kai, Dual and self-dual negacyclic codes of even length over Z 2 a, Discrete Mathematics,
  • [4] Yonglin Cao, On constacyclic codes over finite chain rings, Finite Fields and Their Applications,

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