A Family of Binary Sequences with 4-Valued Optimal Out-of-Phase Correlation and Large Linear Span(Information Theory)
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概要
- 論文の詳細を見る
In this paper, a new family S^<(r)> of 2^n binary sequences of period 2^n-1 is proposed, where n≡2 mod 4 and gcd (r, 2^<n/2>-1)=1. The presented family takes 4-valued out-of-phase auto- and cross-correlation values -1, ±2^<n/2>-1, and 2^<n/2+1>-1, and its correlation distribution is determined. For r=2^<(n-2)/4>-1, each sequence in S^<(r)>, except the unique ideal autocorrelation sequence in the family, is proved to have a large linear span n・2^<n/2-2>, whilst the linear span of the latter is n・2^<(n-2)/4-1>.
- 社団法人電子情報通信学会の論文
- 2006-07-01
著者
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ZENG Xiangyong
Faculty of Mathematics and Computer Science, Hubei University
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HU Lei
State Key Laboratory of Information Security (Graduate School of Chinese Academy of Sciences)
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Hu Lei
State Key Laboratory Of Information Security Graduate University Of Chinese Academy Of Sciences
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Zeng Xiangyong
Faculty Of Mathematics And Computer Science Hubei University
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JIANG Wenfeng
State Key Laboratory of Information Security, Graduate University of Chinese Academy of Sciences
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JIANG Wenfeng
Faculty of Mathematics and Computer Science, Hubei University
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Jiang Wenfeng
State Key Laboratory Of Information Security Graduate University Of Chinese Academy Of Sciences
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Hu Lei
State Key Lab. Of Information Security Graduate School Of Chinese Acad. Of Sciences
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Zeng Xiangyong
Fac. Of Mathematics And Computer Sci. Hubei Univ.
関連論文
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- A Family of Binary Sequences with 4-Valued Optimal Out-of-Phase Correlation and Large Linear Span(Information Theory)
- Constructing Boolean Functions by Modifying Maiorana-McFarland's Superclass Functions(Symmetric Key Cryptography)(Cryptography and Information Security)
- On the Linear Span of a Binary Sequence Family with Optimal Correlation Properties
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