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For a prime p and positive integers M and n such that M|p/sup n/-1, Sidel'nikov introduced M-ary sequences (called Sidel'nikov sequences) of period p/sup n/-1, the out-of-phase autocorrelation magnitude of which is upper bounded by 4. In this correspondence, we derived the autocorrelation distributions, i.e., the values and the number of occurrences of each(More)
In this paper, we derive linear complexity over F<sub>p</sub> 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, 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, a new family of <i>M</i> -ary sequences of period <i>p</i><sup>n</sup> -1 is proposed. The proposed family is constructed by the addition of cyclic shifts of an <i>M</i> -ary Sidel'nikov sequence and its reverse sequence. The number of sequences contained in this family is about (<i>M</i>-1)<sup>2</sup> times of their period and the maximum(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 a prime p and a positive integer q such that q|p n − 1, we constructed q-ary Lempel– Cohn–Eastman(LCE) sequences with period p n − 1. These sequences have maximum autocorrelation magnitude bounded by 4. Particularly, in the case of q = 3, the maximum autocorrelation magnitude of the ternary LCE sequences is 3. And the maximum(More)