A Class of Nonbinary Codes and Their Weight Distribution

2008/02/23 by Xiangyong Zeng, Nian Li, Zeng, Xiangyong +3 · 1 citation
Computer Science · Engineering · Mathematics · #Cellular Automata and Applications #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #graph theory and CDMA systems #math.IT

paper · pdf · doi:10.48550/arxiv.0802.3430

18 pages

arxiv created 2008/02/23 · openalex publication_date 2008/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, for an even integer n≥ 4 and any positive integer k with \rm gcd(n/2,k)=\rm gcd(n/2-k,2k)=d being odd, a class of p-ary codes C^k is defined and their weight distribution is completely determined, where p is an odd prime. As an application, a class of nonbinary sequence families is constructed from these codes, and the correlation distribution is also determined.

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