SOME NEW RESULTS ON CROSS CORRELATION OF p-ARY m-SEQUENCE AND ITS DECIMATED SEQUENCE

摘要

Let p be an odd prime, n = 2m, and n/gcd(k,n) be odd. In this paper, we study the cross correlation between a p-ary m-sequence (s(t)) of period p(n) - 1 and its decimated sequence (s(dt)) where d satisfies d(p(k) +1) equivalent to p(m) +1 (mod p(n) - 1). Our results show that the cross-correlation function is six-valued and the distribution of the cross correlation is also completely determined.