Auto-correlation Function of Generalized Jacobi Sequences

Zhou Xuan; Li Chao

Volume 27 Issue 4

Apr. 2005

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Zhou Xuan, Li Chao. Auto-correlation Function of Generalized Jacobi Sequences[J]. Journal of Electronics & Information Technology, 2005, 27(4): 625-628.

Citation:

Zhou Xuan, Li Chao. Auto-correlation Function of Generalized Jacobi Sequences[J]. Journal of Electronics & Information Technology, 2005, 27(4): 625-628.

Zhou Xuan, Li Chao. Auto-correlation Function of Generalized Jacobi Sequences[J]. Journal of Electronics & Information Technology, 2005, 27(4): 625-628.

Citation:

Zhou Xuan, Li Chao. Auto-correlation Function of Generalized Jacobi Sequences[J]. Journal of Electronics & Information Technology, 2005, 27(4): 625-628.

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Auto-correlation Function of Generalized Jacobi Sequences

Zhou Xuan^①;李超,
Li Chao

Received Date: 2003-12-10
Rev Recd Date: 2004-06-02
Publish Date: 2005-04-19

Abstract

Abstract

Correlation function is the important parameter for studying the security of sequence cipher. This paper discusses the auto-correlation of two classes of generalized Jacobi sequences and gives their values of auto-correlation. The results show that two classes of generalized Jacobi sequences have good auto-correlation properties.

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References(1)

References

Damgaard I. On the randomness of Legendre and Jacobi sequences. Advances. in Cryptology.[J].CRRPTO88, SpringerVerlag.1990,:-[2]Ding C, Helleseth T, Shan W. On the complexity of Legendre sequences[J].IEEE Trans. on Information Theory.1998, 44(3):1276-[3]胡予濮,魏仕民,肖国镇.广义Legendre序列和广义Jacobi序列的线性复杂度.电子学报,2000,28(2):113-117.[4]潘承洞,潘承彪.初等数论.北京:北京大学出版社,1991:150-231.[5]胡予濮,张玉清,肖国镇.对称密码学.北京:机械工业出版社,2002:96-107.

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