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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)
The renormalization group method is applied to the three-loop effective potential of the massive φ 4 theory in the MS scheme in order to obtain the next-next-next-to leading logarithm resummation. For this, we use already known four-loop renormalization group functions and calculate perturbatively evolutions of the parameters (λ, m 2 , φ and, Λ) along the(More)
In this paper, we proposed a new quaternary low correlation zone(LCZ) sequence set with parameters (2(2<sup>n</sup> - 1),M, L, 2). The new LCZ sequence set is constructed from the binary sequence with ideal autocorrelation of period 2<sup>n</sup> - 1. The proposed construction method corresponds to the generalization of the construction method of binary LCZ(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, isin) is extended as a q-ary LCZ sequence set with parameters (pN, pM, plfloor(L + 1)/plfloor - 1, pisin),(More)