—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, we derive linear complexity over Fp of the M-ary Sidel'nikov sequences using discrete Fourier transform. As an example, we represent the linear complexity of the ternary Sidel'nikov sequences. It turned out that the ternary Sidel'nikov sequences have the linear complexity nearly close to their periods.
—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)