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完备二元序列的互相关性 被引量：4

Cross-Correlation Properties of Perfect Binary Sequences
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摘要 在n为奇数的情形下,研究了Dillon-Dobbertin(DD)采样序列和Welch-Gong(WG)序列间的互相关函数以及Hyperoval序列间的互相关函数.研究结果表明,DD采样序列和WG序列间的互相关函数以及Hyperoval序列间的互相关函数都可转化为m-序列与其采样序列间的互相关函数,同时得到当采样间隔为2k+1时,DD采样序列和WG序列间的互相关函数是3值的. For odd n,the cross-correlation function between a decimated Dillon-Dobbertin（DD）sequence and Welch-Gong（WG）sequence is investigated,and the cross-correlation function between a pair of Hyperoval sequences is studied.It is shown that the calculation of the cross-correlation functions between a decimated DD sequence and WG sequence,and a pair of Hyperoval sequences could be reduced to the calculation of the cross-correlation between m-sequences and their decimations.The cross-crrelation function between a decimated DD sequence and WG sequence could be 3-valued under a 2k＋1-decimation.
作者 卓泽朋 肖国镇
机构地区 西安电子科技大学综合业务网国家重点实验室 淮北煤炭师范学院数学科学学院
出处 《北京邮电大学学报》 EI CAS CSCD 北大核心 2010年第2期78-81,共4页 Journal of Beijing University of Posts and Telecommunications
基金 国家自然科学基金项目(60773003 60970120)
关键词 互相关函数 完备序列 采样 Dillon-Dobbertin序列 Welch-Gong序列 Hyperoval序列 cross-correlation function perfect sequences decimation Dillon-Dobbertin sequence Welch-Gong sequence Hyperoval sequence
分类号 TN918.1 [电子电信—通信与信息系统]
  • 相关文献

参考文献15

  • 1Jungnickel D, Pon A. Perfect and almost perfect sequences[ J]. Discrete Applied Mathmatics, 1999, 95 ( 1- 3) : 331-359.
  • 2Gordon B, Mills W H, Welch L R. Some new difference sets [ J]. Canadian Journal of Mathematics, 1962, 14 (4) : 614-625.
  • 3Dillon J F, Dobbertin H. New cyclic difference sets with singer parameters [ J]. Finite Fields and Their Applications, 2004, 10(3): 342-389.
  • 4No J S, Golomb S W, Gong G, et al. Binary pseudorandom sequences of period 2^m - 1 with ideal autocorrelation [J]. IEEE Trans on Inform Theory, 1998, 44(2) : 814- 817.
  • 5Maschietti A. Difference sets and hyperovals [ J ]. Designs, Codes and Cryptography, 1998, 14 ( 1 ) : 89- 98.
  • 6Gold R. Maximal recursive sequences with 3-valued recursive cross-correlation functions [ J]. IEEE Trans Inform Theory, 1968(14): 154-156.
  • 7Games R A. Cross-correlation of m-sequences and GMW- sequences with the same primitive polynomial [ J]. Discrete Applied Mathematics, 1985, 12: 139-146.
  • 8Antweiler M. Cross-correlation of p-ary GMW sequences [J]. IEEE Trans Inform Theory, 1994, 40(4): 1253- 1261.
  • 9Gong Gnang, Golomb S W. The decimation-Hadamard transform of two-level auto-correlation sequences [ J]. IEEE Trans Inform Theory, 2002, 48(4) : 853-865.
  • 10Yu Y N, Gong Guang. Cross-correlation properties of binary sequences with ideal two-level autocorrelation [ C ] //Sequences and Their Applications (SETA 2006 ). [ S.l. ] : Springer-Verlag, 2006: 104-118.

二级参考文献10

  • 1GORDON B,MILLS W H,WELCH L R.Some new difference sets[J].Canadian Journal of Mathematics,1962,14:614-625.
  • 2NO J S,GOLOMB S W,GONG G,et al.Binary pseudorandom sequences of period 2m-1 with ideal autocorrelation[J].IEEE Trans Inform Theory,1998,44 (2):814-817.
  • 3DILLON J F,DOBBERTIN H.New cyclic difference sets with singer parameters[J].Finite Fields Applications,2004,10(3):342-389.
  • 4MASCHIETTI A.Difference sets and hyperovals[J].Designs Codes and Cryptography,1998,14:89-98.
  • 5GAMES R A.Crosscorrelation of m-sequences and GMW-sequences with the same primitive polynomial[J].Discrete Applied Mathematics,1985,12:139-146.
  • 6ANTWEILER M.Cross-correlation of p-ary GMW sequences[J].IEEE Trans Inform Theory,1994,40:1253-1261.
  • 7GONG G,GOMLOMB S W.The decimation-Hadamard transform of two-level autocorrelation sequences[J].IEEE Trans Inf Theory,2002,48(2):853-865.
  • 8YU Y N,GONG G.Crosscorrelation properties of binary sequences with ideal two-level autocorrelation[A].Sequences and Their Applications (SETA 2006)[C].Springer-Verlag,2006.104-118.
  • 9HERTEL D.Cross-correlation properties of perfect binary sequences[A].Sequences and Their Applications (SETA 2004)[C].Springer-Verlag,2005.208-219.
  • 10HERTEL D.Crosscorrelation between GMW and dillon-dobbertin sequences[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2006,E89-A(9):2264-2267.

共引文献3

同被引文献42

  • 1佟鑫,温巧燕.GMW序列和WG序列及WG序列间的互相关特性[J].通信学报,2007,28(7):118-122. 被引量：4
  • 2Jungnickel D, Pott A.Perfect and almost perfect sequences[J].Discrete Applied Mathematics, 1999,95 : 331-359.
  • 3Gordon B, Mills W H, Welch L R.Some new difference sets[J]. Canadian Journal of Mathematics, 1962,14(4):614-625.
  • 4Dillon J F, Dobbertin H.New cyclic difference sets with singer parameters[J].Finitc Fields and Their Applications, 2004,10 : 342-389.
  • 5No J S, Golomb S W, Gong G, et al.Binary pseudomndom sequences of period 2m - 1 with ideal autocorrelation[J].IEEE Trans on Inform Theory, 1998,44(2) :814-817.
  • 6Maschietti A.Difference sets and hyperovals[J].Designs, Codes and Cryptography, 1998,14:89-98.
  • 7Gold R.Maximal recursive sequences with 3-valued recursive cross-correlation functions[J].lEEE Trans on Inform Theory, 1968,14: 154-156.
  • 8Games R A.Crosscorrelation of m-sequences and GMW-sequences with the same primitive polynomial[J].Discrete Applied Mathematics, 1985,12:139-146.
  • 9Antweiler M.Cross-correlation of p-ary GMW sequences[J].lEEE Trans on Inform Theory, 1994,40(4) : 1253-1261.
  • 10Gong G, Golomb S W.The decimation-Hadamard transform of two-level auto-correlation sequences[J].IEEE. Trans on Inform Theory,2002,48(4) :853-865.

引证文献4

北京邮电大学学报
2010年 第2期

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