of Periodp4k_landItsDecimated Sequences by (p2k+1 2
Eun‐Young Seo, Young Sik Kim, Jong‐Seon No, Dong‐Joon Shin · 2007
Foranoddprimep, n = 4k,andd= ((p2k+l) /2)2, thereare(p2k+ 1)/2 distinct decimated sequences s(dt + 1), 0< I< (p2k +1)/2, ofap-arym-sequence s(t) ofperiod pn_ 1 because gcd(d, pn _1)= (p2k + 1)/2. Inthis paper, itisshown thatthecross-correlation function betweens(t) ands(dt + 1), 0< l< (p2k + 1)/2, takes thevalues in{-1, 1-p,-- + p,-1+2+pf}andtheir cross-correlation distribution isalso derived.