English
资源说明：For two odd integers l, k with 0 < l < k and gcd(l, k) = 1, let m = 2k and d = (2^{lk}+1)/(2^l+1)+2(2^m−1)/3. In this paper, we determine the value distribution of the exponential sum \sum_{x∈F_{2^m }}(−1)^{Tr^m_1 (ax+bx^d)}. As applications, the weight distribution of a class of binary cyclic codes is settled. Second, we determine the correlation distribution among sequences in a sequence family.
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