A Class of Nonbinary Codes and Sequence Families

Authors:
Xiangyong Zeng;Nian Li;Lei Hu
Affiliations:
The Faculty of Mathematics and Computer Science, Hubei University, Wuhan, P.R. China 430062;The Faculty of Mathematics and Computer Science, Hubei University, Wuhan, P.R. China 430062;The State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, P.R. China 10049
Venue:
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Year:
2008

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Abstract

In this paper, for an even integer n茂戮驴 4 and any positive integer kwith gcd(n/2,k) = gcd(n/2 茂戮驴 k,2k) = dbeing odd, a class of p-ary codes $\mathcal{C}^k$ is defined and the weight distribution is completely determined, where pis an odd prime. A class of nonbinary sequence families is constructed from these codes, and the correlation distribution is also determined.