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A Family of q-Ary Cyclic Codes with Optimal Parameters

Wenhua ZHANG, Shidong ZHANG, Yong WANG, Jianpeng WANG

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Summary :

The objective of this letter is to present a family of q-ary codes with parameters $[ rac{q^m-1}{q-1}, rac{q^m-1}{q-1}-2m,d]$, 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.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.3 pp.631-633
Publication Date
2020/03/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.2019EAL2126
Type of Manuscript
LETTER
Category
Coding Theory

Authors

Wenhua ZHANG
  Southwest Jiaotong University
Shidong ZHANG
  Southwest Jiaotong University
Yong WANG
  Southwest Jiaotong University
Jianpeng WANG
  Southwest Jiaotong University

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