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| On Constacyclic Codes over Zp1p2...pt |
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Citation： |
Derong XIE,Qunying LIAO.On Constacyclic Codes over Zp1p2...pt[J].Chinese Annals of Mathematics B,2019,40(4):555~566 |
| Page view： 1076
Net amount： 1488 |
Authors： |
Derong XIE; Qunying LIAO |
Foundation： |
This work was supported by the Project of Science and
Technology Department of Sichuan Province (No.2016JY0134). |
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| 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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