Evaluation of cross-correlation values of p-ary m-sequence and its decimated sequence by pn+1 over p+1 + pn−1 over 2
Sung-Tai Choi, Taehyung Lim, Jong‐Seon No, Habong Chung · 2011
For a prime p ≡ 1 mod 4, an odd integer n, and d = pn+1/p+1 + pn-1/2, we investigate the cross-correlation values of p-ary m-sequence m(t) of period pn- 1 and its decimated m-sequence m(dt). It is shown that the cross-correlation function between m(t) and m(dt) takes the values in {-1, -1 ± pn/2, -1 ± 1+√p/2 pn/2, -1 ± p-1/2 pn/2}.