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On Lengthening the Period of Known Binary Sequences Preserving the Ideal Autocorrelation
No, Jong-Seon,Yang, Kyeong-Cheol,Chung, Ha-Bong,Song, Hong-Yeop The Korean Institute of Electrical Engineers 1997 Journal of Electrical Engineering and Information Vol.2 No.6
Recently, No et al. presented a new construction of binary sequences with ideal autocorrelation property. In this paper, we applied this method into some of the well-known binary sequences with ideal autocorrelation, and the results are described in detail. First, the GMW sequences are shown to be a natural extension of m-sequences with respect to this method. Second, new binary sequences with ideal autocorrelation property are explicitly constructed from Legendre sequences, Hall's sextic residue sequences, and other known sequences of miscellaneous type.
No, Jong-Seon,Song, Hong-Yeop 한국통신학회 2001 Journal of communications and networks Vol.3 No.4
Over an additive abelian group G of order g and for a given positive integer $\lambda$, a generalized Hadamard matrix GH(g, $\lambda$) is defined as a gλ$\times$gλ matrix[h(i, j)], where 1 $\leq i \leqg\lambda and 1 \leqj \leqg\lambda$, such that every element of G appears exactly $\lambd$atimes in the list h($i_1, 1) -h(i_2, 1), h(i_1, 2)-h(i_2, 2), …, h(i_1, g\lambda) -h(i_2, g\lambda), for any i_1\neqi_2$. In this paper, we propose a new method of expanding a GH(g^m, \lambda_1) = B = [B_{ij}] over G^m$ by replacing each of its m-tuple B_{ij} with B_{ij} + GH(g, $\lambda_2) where m = g\lambda_2. We may use g^m/\lambda_1 (not necessarily all distinct) GH(g, \lambda_2$)s for the substitution and the resulting matrix is defined over the group of order g.
A Theory on the Construction of Binary Sequences with Ideal Atutocorrelation
No, Jong-Seon,Yang, Kyeong-Cheol,Chung, Ha-Bong,Song, Hong-Yeop The Korean Institute of Electrical Engineers 1997 Journal of Electrical Engineering and Information Vol.2 No.6
In this paper, we present a closed-form expression of binary sequences of longer period with ideal autocorrelation property in a trace representation, if a given binary sequence with ideal autocorrelation property is described using the trace function. We also enumerate the number of cyclically distinct binary sequences of a longer period with ideal autocorrelation property, which are extended from a given binary sequence with ideal autocorrelation property.
On Lengthening the Period of Known Binary Sequences Preserving the Ideal Autocorrelation
Jong-Seon No,Kyeong-Cheol Yang,Ha-Bong Chung,Hong-Yeop Song 한국정보과학회 1997 Journal of Electrical Engineering and Information Vol.2 No.6
Recently, No et al. presented a new construction of binary sequences with ideal autocorrelation property. In this paper, we applied this method into some of the well-known binary sequences with ideal autocorrelation, and the results are described in detail. First. the GMW sequences are shown to be a natural extension of m-sequences with respect to this method. Second, new binary sequences with ideal autocorrelation property are explicitly constructed from Legendre sequences, Hall's sextic residue sequences, and other known sequences of miscellaneous type.
A NEW FAMILY OF FREQUENCY HOPPING SEQUENCES WITH LONG PERIOD
No, Jong Seon,Lee, Choong Woong 대한전자공학회 1992 HICEC:Harbin International Conference on Electroni Vol.1 No.1
New family of frequency hopping sequences with long period which can be used for frequency hopped multiple access communication system is introduced. Period of frequency hopping sequences is q^k-1 and the size of family of frequency hopping sequences is q, where q is power of prime number. The maximum value of out-of-phase Hamming autocorrelation and crosscorrelation of frequency hopping sequences in the family is optimal, i.e., q^(k-1).