QUANTUM CODES FROM CYCLIC CODES OVER THE Fq

被引：0
|
作者：
Tetik, Ceremnur [1 ]
Dertli, Abdullah [1 ]
机构：
[1] Ondokuz Mayis Univ, Math Dept, TR-55270 Samsun, Turkey
来源：
JOURNAL OF SCIENCE AND ARTS | 2021年 / 03期
关键词：
quantum codes; cyclic codes; gray map;
D O I：
10.46939/J.Sci.Arts-21.3-a01
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we give construction of quantum codes over F-q from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) + uvF(q), where u(2) = u, v(2) = v, w(2) = w, uv = uv, uw = wu = vw = wv = 0, q = p(m) and p is an odd prime. We determine the parameters of quantum error correcting codes which constructed from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) +uvF(q). Finally, we give some examples of quantum codes.
引用
收藏
页码：611 / 616
页数：6
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