Optimal quantum codes from additive skew cyclic codes

被引：12
|
作者：
Aydin, Nuh [1 ]
Abualrub, Taher [2 ]
机构：
[1] Kenyon Coll, Dept Math, Gambier, OH 43022 USA
[2] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2016年 / 8卷 / 03期
关键词：
Skew cyclic codes; additive codes; quantum codes; best-known codes;
D O I：
10.1142/S1793830916500373
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Additive codes received much attention due to their connections with quantum codes. On the other hand, skew cyclic codes proved to be a useful class of codes that contain many good codes. In this work, we introduce and study additive skew cyclic codes over the quaternary field GF(4), obtaining some structural properties of these codes. Moreover, we also show that many best known and optimal quantum codes can be obtained from this class.
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页数：9
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