A Family of q-Ary Cyclic Codes with Optimal Parameters

被引：0
作者：
Zhang, Wenhua [1 ]
Zhang, Shidong [1 ]
Wang, Yong [2 ]
Wang, Jianpeng [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
[2] Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2020年 / E103A卷 / 03期
关键词：
linear code; cyclic code; Hamming distance; minimum distance; optimal code;
D O I：
10.1587/transfun.2019EAL2126
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The objective of this letter is to present a family of q-ary codes with parameters left perpendicularq(m) 1/q - 1, q(m) 1/q - 1 - 2m, dright perpendicular, where m is a positive integer, q is a power of an odd prime and 4 <= d <= 5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.
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收藏
页码：631 / 633
页数：3
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