• Title/Summary/Keyword: Legendre 수열

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Extended sequences of sequences generated by GMW sequences and No sequences (GMW 수열과 No 수열에 의해서 생성된 수열의 확장수열)

  • Cho, Sung-Jin;Yim, Ji-Mi;Kim, Jin-Gyoung;Kim, Seok-Tae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.2
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    • pp.271-277
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    • 2012
  • In this paper, we introduce the extended sequences of sequences generated by GMW sequences and No sequences. And we analyze cross-correlatons of the extended sequences. Also we give extended sequences which are constructed from Legendre sequences. This is helpful to a cryptosystem and a communication system. Particularly this study is useful to the CDMA system signal design.

Design of Binary Sequences with Optimal Cross-correlation Values (최적의 상호상관관계를 갖는 이진 수열의 설계)

  • Choi, Un-Sook;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.4
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    • pp.539-544
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    • 2011
  • Balanced binary sequences of period $2^n-1(n{\geq}1)$ having the two-valued autocorrelation function have many applications in spread-spectrum communications system. In this paper we propose new nonlinear binary sequences which are constructed from Legendre sequences with the same cross-correlation as the sequences proposed by Cho. These sequences include the m-sequences, GMW sequences, Kasami sequences and No sequences which are described in terms of the trace function over a finite field. Also the proposed sequences have more low cross-correlation distribution than the quadratic form sequences proposed by Klapper.