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Chinese Annals of Mathematics, Series B

, Volume 40, Issue 4, pp 555–566 | Cite as

On Constacyclic Codes over \(\boldsymbol{Z}_{\boldsymbol{p}_{1}\boldsymbol{p}_{2}\cdots\boldsymbol{p}_{\boldsymbol{t}}}\)

  • Derong XieEmail author
  • Qunying LiaoEmail author
Article
  • 6 Downloads

Abstract

Let t ≥ 2 be an integer, and let p1, ⋯, pt 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 \({Z_{{p_1}{p_2} \cdots {p_t}}}\) and the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over \({Z_{{p_1}{p_2} \cdots {p_t}}}\).

Keywords

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

2000 MR Subject Classification

94B15 

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Copyright information

© The Editorial Office of CAM and Springer-Verlag Berlin Heidelberg 2019

Authors and Affiliations

  1. 1.College of Mathematical ScienceSichuan Normal UniversityChengduChina

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