Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation 


Vol. 33,  No. 9, pp. 669-675, Sep.  2008


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  Abstract

For an odd prime p, n=4k and d=((p2k+1)/2)², there are (p2k+1)/2 distinct decimated sequences s(dt+l), 0≤l＜(p2k+1)/2, of a p-ary m-sequence s(t) of period pⁿ-1. In this paper, it is shown that the cross-correlation function between s(t) and s(dt+l) takes the values in {-1, -1±√pⁿ,-1+2√pⁿ} and their cross-correlation distribution is also derived.

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  Cite this article

[IEEE Style]

E. Seo, Y. Kim, J. No, D. Shin, "Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 9, pp. 669-675, 2008. DOI: .

[ACM Style]

Eun-Young Seo, Young-Sik Kim, Jong-Seon No, and Dong-Joon Shin. 2008. Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation. The Journal of Korean Institute of Communications and Information Sciences, 33, 9, (2008), 669-675. DOI: .

[KICS Style]

Eun-Young Seo, Young-Sik Kim, Jong-Seon No, Dong-Joon Shin, "Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 9, pp. 669-675, 9. 2008.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880