A Class of Nonbinary Codes and Their Weight Distribution

Details A Class of Nonbinary Codes and Their Weight Distribution A Class of Nonbinary Codes and Their Weight Distribution

2008-02-23

arxiv.org/abs/0802.3430v1

Computer Science

Information Theory

18 pages

Scientific paper

In this paper, for an even integer $n\geq 4$ 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 $\mathcal{C}^k$ 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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