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Cross-Correlation Distribution of p -ary m -Sequence of Period p^{4k}-1 and Its Decimated Sequences by \left({{ p^{2k}+1}\over { 2}}\right)^{2}

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4 Author(s)
Eun-Young Seo ; Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD ; Young-Sik Kim ; Jong-Seon No ; Dong-Joon Shin

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

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IEEE Transactions on Information Theory  (Volume:54 ,  Issue: 7 )