| On Constacyclic Codes over Z_(p_1p_2…p_t) |
| |
| 作者姓名： | Derong XIE Qunying LIAO |
| |
| 摘 要： | 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).
|
| 收稿时间： | 2016/4/8 0:00:00 |
| 修稿时间： | 2017/7/5 0:00:00 |
On Constacyclic Codes over Zp1p2...pt |
| |
| Derong XIE,Qunying LIAO.On Constacyclic Codes over Zp1p2...pt[J].Chinese Annals of Mathematics,Series B,2019,40(4):555-566. |
| |
| Authors: | Derong XIE and Qunying LIAO |
| |
| Institution: | College of Mathematical Science, Sichuan Normal University, Chengdu 610066, China. and College of Mathematical Science, Sichuan Normal University, Chengdu 610066, China. |
| |
| 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 |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
