On Constacyclic Codes over Zp1p2...pt

Citation:

Derong XIE,Qunying LIAO.On Constacyclic Codes over Zp1p2...pt[J].Chinese Annals of Mathematics B,2019,40(4):555~566
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Authors:

Derong XIE; Qunying LIAO

Foundation:

This work was supported by the Project of Science and Technology Department of Sichuan Province (No.2016JY0134).
Abstract: Let $t\geq 2$ be an integer, and let $p_1,\cdots, p_t$ 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 $Z_{p_{1}p_{2}\cdots p_{t}}$ 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

Classification:

94B15
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