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Bent序列的相关值分布的研究 被引量：1

The Correlation Distribution of Binary Bent Sequences
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摘要 对已知的Bent序列集的构造方法作了研究,明确地给出了任一Bent序列集相关值的分配情况.同时,利用有限域上一类新的Bent函数,构造出了一类新的Bent序列集,给出了这类Bent序列的线性复杂度. The construction methods of Bent-function sequences are studied and the correlation distribution of Bent-function sequences is determined. A new class of binary bent-function sequences are constructed and the linear span of these sequences are also derived.
作者 刘古胜 朱玉明
机构地区 湖北省荆楚理工学院数理学院
出处 《数学的实践与认识》 CSCD 北大核心 2009年第22期140-147,共8页 Mathematics in Practice and Theory
关键词 Bent序列 广义迹变换 两值自相关序列 有限域 线性复杂度 bent sequences modified trace transform two-level autocorrelation sequences finite field linear span
分类号 TN918 [电子电信—通信与信息系统]
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参考文献9

  • 1Simon M K, Omura J K, Schohz R A, Levitt B K. Spread Spectrum Communications Handbook[M]. McGraw Hill ,200l.
  • 2Helleseth T, Kumar P V. Sequences with low correlation[J], in Handbook of Coding Theory, Pless V S and Huffman W C, Eds, Amsterdam, The Netherlands: North-Holland, 1998,11 : 1765-1853.
  • 3Olsen J D, Scholtz R A, Welch L R. Bent function sequences[J]. IEEE Trans Inform Theory, 1982, IT-28: 858- 864.
  • 4Kumar P V, Schohz R A. Bounds on the linear span of bent sequences[J]. IEEE Trans Inform Theory, 1983, IT- 29: 854-862.
  • 5Lempel A, Cohn M. Maximal families of bent sequences[J]. IEEE Trans Inform Theory, 1982, IT-28: 865-868.
  • 6Jong-Seon No, Gang-Mi Gil, Dong-Joon Shin. Generalized construction of binary bent sequences with optimal correlation property[J]. Trans Inform Theory, 2003, 49(7): 1769-1780.
  • 7Dong Joon Shin, Jong-Seon No, Extended Binary Bent Squences with Optimal Correlation and Balance Properties[M]. ISIT2003, Yokohama, Janpan, pp. 406.
  • 8Udaya P, Polyphase and Frequency Hopping Sequences Obtained from Finite Rings[M]. Ph D Dissertation, Dept Elec Eng, Institute Technology, Kanpur, India, 1992.
  • 9Rothaus O S. On "Bent" funetions[J]. J Combin Theory (A), 1976, 20: 300-305.

同被引文献9

  • 1Golomb S W, Gong Guang. Signal Design with Good Correlation : for Wireless Communications, Cryptography and Radar [ M ]. New York: Cambridge University Press,2005 : 323 - 381.
  • 2Gong Guang. Correlation of multiple bent function signal sets [ C ]//IEEE Information Theory Workshop on Information Theory for Wireless Networks. Solstrand,2007:1 - 5.
  • 3Gong Guang. Design of signal sets with low intraference for CDMA application in networking environment[ R]. University of Wa- terleo, CACR,2006.
  • 4Olsen J D,seholtz R A, Welch L R. Bent,function sequences[J]. IEEE Transactions on Information Theory,1982,28(6) : 858 - 864.
  • 5Rothans O S. On bent function [ J ]. Journal of Combinatorial Theory: Series A, 1976,20 (3) : 300 - 305.
  • 6Kumar P V. On bent sequences and generalized bent functions[ D ]. Los Angeles :University of Southern California, 1983.
  • 7No J,Gil G,Shin D. Generalized construction of binary bent sequences with optimal correlation property[ J]. IEEE Transactions on Information Theory,2003,49(7) : 1769 -1780.
  • 8Kumar P V ,Scholtz R A,Welch L R. Generalized bent functions and their properties[ J ]. Journal of Combinatorial Theory: Series A,1985,40(1) :90 -107.
  • 9Helleseth T, Kholosha A. On generalized bent functions [ C ]//Information Theory and Applications Workshop. San Diego, 2010:1 -6.

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数学的实践与认识
2009年 第22期

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