The weight distributions of two classes of p-ary cyclic codes with few weights

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• 作者：Shudi Yang^a ; ^b ; ^{yangshd3@mail2.sysu.edu.cn} ; Zheng-An Yao^c ; ^{mcsyao@mail.sysu.edu.cn} ; Chang-An Zhao^c ; ^{zhaochan3@mail.sysu.edu.cn}
• 关键词：94B15 ; 11T71
• 刊名：Finite Fields and Their Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：44
• 期：Complete
• 页码：76-91
• 全文大小：381 K
• 卷排序：44

文摘

Cyclic codes have attracted a lot of research interest for decades as they have efficient encoding and decoding algorithms. In this paper, for an odd prime p, we investigate two classes of p-ary cyclic codes for special cases and determine their weight distributions explicitly. The results show that both codes have at most five nonzero weights.