Further crosscorrelation properties of sequences with the decimation factor d = p(n)+1/p+1-p(n)-1/2
For an odd integer n >= 3, an odd prime p equivalent to 3(mod4) and d = p(n)+1/p+1 - p(n) - 1/2, the value distribution of the exponential sum Sigma(x is an element of F)*(pn) omega(Tr1n(x-gamma xd)) (gamma is an element of F*(pn)) is completely determined in this paper, where. is a primitive complex p-th root of unity. This improves the results of Muller (1999) and Hu et al. (2001) about the crosscorrelation of sequences with the decimation factor d.
sequence decimation factor crosscorrelation function quadratic form