New Families of p-ary Sequences With Low Correlation andLarge Linear Span 


Vol. 33,  No. 7, pp. 534-539, Jul.  2008


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  Abstract

For an odd prime p, n=4k, and d=((p2k+1)/2², Seo, Kim, No, and Shin[1] derived the correlation distribution of p-ary m-sequence of period pⁿ-1 and its decimated sequences by d. In this paper, two new families of p-ary sequences with family size p2k and maximum correlation magnitude 2√pⁿ-1 are constructed. The linear complexity of new p-ary sequences in the families are derived in the some cases and the upper and lower bounds of their linear complexity for general cases are presented.

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  Cite this article

[IEEE Style]

Y. Kim, J. Chung, J. No, D. Shin, "New Families of p-ary Sequences With Low Correlation andLarge Linear Span," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 7, pp. 534-539, 2008. DOI: .

[ACM Style]

Young-Sik Kim, Jung-Soo Chung, Jong-Seon No, and Dong-Joon Shin. 2008. New Families of p-ary Sequences With Low Correlation andLarge Linear Span. The Journal of Korean Institute of Communications and Information Sciences, 33, 7, (2008), 534-539. DOI: .

[KICS Style]

Young-Sik Kim, Jung-Soo Chung, Jong-Seon No, Dong-Joon Shin, "New Families of p-ary Sequences With Low Correlation andLarge Linear Span," The Journal of Korean Institute of Communications and Information Sciences, vol. 33, no. 7, pp. 534-539, 7. 2008.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880