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最优(v,{3,4,6},1,Q)光正交码的构造 被引量:1

Constructions of Optimal(v,{3,4,6},1,Q)-OOCs
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摘要 证明了当q≥7为质数时,存在最优(48q,{3,4,6},1,(5/9,3/9,1/9))光正交码. In this paper,it is proved that there exists an optimal(48q,{3,4,6},1,(5/9,3/9,1/9))-OOC for each prime q≥7.
作者 刘燕 黄必昌
出处 《广西师范学院学报(自然科学版)》 2012年第2期25-28,共4页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 国家自然科学基金项目(10961006) 广西自然科学基金项目(2012GXNSFAA053001) 广西高等学校优秀人才资助计划项目(2010年立项) 广西教育厅重点项目(201202ZD012)
关键词 变重量光正交码 循环填充 相对差族 二次剩余 variable-weitht optical orthogonal code (OOC) cyclic packing relative difference family quadratic residue
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参考文献8

  • 1SALEHI J A. Coee division multiple access techniques in optical fiber networks-part I: fundamental prineiples[J ]. IEEE Transactions on Communications, 1989, 37(8) : 824-833.
  • 2YANG G C. Variable weight optical orthogonal codes for CDMA networks with multiple performance requirements[ J 1. IEEE Transactions on Communications, 1996, 44(1) : 47-55.
  • 3BURATTI M, WEI Y E, WU D H, et al. Relative difference families with variable block sizes and their related OOCs [ J ]. IEEE Transactions on Information Theory, 2011,57 ( 11 ) : 7489-7495.
  • 4JIANG J, WU D H, FAN P Z. General constructions of optimal variable-weight optical orthogonal codes[J]. IEEE Transactions on Information Theory, 2011, 57(7) : 4488-4496.
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  • 6WU D H, ZHAO H M, FAN P Z, et al. Optimal variable-weight optical orthogonal codes via difference packings[J]. IEEE Transactions on Information Theory, 2010, 56(8): 4053-4060.
  • 7BURATTI M. Reeursive constructions for difference matrices and relative difference families[J]. Journal of Combinatorial Designs, 1998, 6(3): 165-182.
  • 8潘承洞,潘承彪.初等数论[M].2版.北京:北京大学出版社,2003:48-50.

共引文献14

同被引文献9

  • 1潘承洞,潘承彪.初等数论[M].2版.北京:北京大学出版社,2003:48-50.
  • 2SALEHI J A. Code division multiple access techniques in optical fiber networks-Part I Fundamental prineiples[J]. IEEE Transactions on Communications, 1989,37 (8) : 824-833.
  • 3YANG Guu-chang. Variable weight optical orthogonal codes for CDMA networks with multiple performance require- ments [J]. IEEE Transactions on Communications, 1996,44(1) : 47-55.
  • 4BURATTI M ,WEI Yue-er,WU Dian-hua,et al. Relative difference families with variable block sizes and their related OOCs [J]. IEEE Transactions on Information Theory, 2011,57 (11 ) : 7489-7497.
  • 5JIANG Jing,WU Dian-hua,FAN Ping-zhi. General constructions of optimal variable-weight optical orthogonal codes [J]. IEEE Transactions on Information Theory, 2011,57 (7) : 4488-4496.
  • 6YIN Jian-xing. Some combinatorial constructions for optical orthogonal codes [J]. Discrete Mathematics, 1998, 185 (113) : 201-219.
  • 7WU Dian-hua,ZHAO Heng-ming,FAN Ping-zhi,et al. Optimal variable-weight optical orthogonal codes via differ- ence paekings[J]. IEEE Transactions on Information Theory, 2010,56 (8) : 4053-4060.
  • 8BURATTI M. Recursive constructions for difference matrices and relative difference families[J]. Journal of Combina- torial Designs, 1998,6 (3) : 165-182.
  • 9余黄生,吴佃华.一类新的最优变重量光正交码[J].广西师范大学学报(自然科学版),2011,29(4):79-83. 被引量:3

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