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—For a prime and positive integers and such that 1, Sidel'nikov introduced-ary sequences (called Sidel'nikov sequences) of period 1, the out-of-phase autocorrelation magnitude of which is upper bounded by 4. In this correspondence, we derived the au-tocorrelation distributions, i.e., the values and the number of occurrences of each value of the… (More)

—In this paper, a new family of-ary sequences of period 1 is proposed. The proposed family is constructed by the addition of cyclic shifts of an-ary Sidel'nikov sequence and its reverse sequence. The number of sequences contained in this family is about (1) 2 times of their period and the maximum magnitude of their correlation values is upper bounded by 4 +… (More)

In this paper, for positive integers m, M , and a prime p such that M |p m − 1, we derive linear complexity over the prime field Fp of M-ary Sidel'nikov sequences of period p m −1 using discrete Fourier transform. As a special case, the linear complexity of the ternary Sidel'nikov sequence is presented. It turns out that the linear complexity of a ternary… (More)

— In this paper, we proposed a new quaternary low correlation zone(LCZ) sequence set with parameters (2(2 n − 1), M, L, 2). The new LCZ sequence set is constructed from the binary sequence with ideal autocorrelation of period 2 n − 1. The proposed construction method corresponds to the generalization of the construction method of binary LCZ sequence set by… (More)

— In this paper, a new extending method of q-ary low correlation zone(LCZ) sequence sets is proposed, which is a generalization of binary LCZ sequence set by Kim, Jang, No, and Chung. Using this method, q-ary LCZ sequence set with parameters (N, M, L,) is extended as a q-ary LCZ sequence set with parameters (pN, pM, p(L + 1)/p − 1, p), where p is prime and… (More)

— In this paper, for a positive integer M and a prime p such that M |p n − 1, a family of M-ary sequences using the M-ary Sidel'nikov sequences with period p n − 1 is constructed. This family has its maximum magnitude of correlation values upper bounded by 3 √ p n + 6 and the family size is (M − 1) 2 (2 n−1 − 1) + M − 1 for p = 2 or (M − 1) 2 (p n − 3)/2 +… (More)

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