Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (3): 1-6.

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Constructions of Optimal (v,{3,4,5,6},1,Q)-OOCs

WU Dian-hua, TONG Jia   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-03-11 Online:2012-09-20 Published:2018-12-04

Abstract: In this paper,it is proved that there exist an optimal (37q,{3,4,5,6},1,(2/5,1/5,1/5,1/5))-OOC and an optimal (44q,{3,4,5,6},1,(1/5,1/5,2/5,1/5))-OOC for each prime q≥7.

Key words: ariable-weitht optical orthogonal code (OOC), cyclic packing, relative difference family, quadratic residue

CLC Number: 

  • O157.2
[1] SALEHI J A.Code division multiple access techniques in optical fiber networks-Part Ⅰ Fundamental principles[J].IEEE Transactions on Communications,1989,37(8):824-833.
[2] YANG Guu-chang.Variable weight optical orthogonal codes for CDMAnetworks with multiple performance requirements[J].IEEE Transactions on Communications,1996,44(1):47-55.
[3] BURATTI 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.
[4] JIANG 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.
[5] 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,2009,29(4):79-83.
[6] 刘燕,黄必昌.最优(
v,{3,4,5,6},1,Q)光正交码的构造[J].广西师范学院学报:自然科学版,2012,29(2):25-28.
[7] YIN Jian-xing.Some combinatorial constructions for optical orthogonal codes[J].Discrete Mathematics,1998,185(113):201-219.
[8] WU Dian-hua,ZHAO Heng-ming,FAN Ping-zhi,et al.Optimal variable-weight optical orthogonalcodes via difference packings[J].IEEE Transactions on Information Theory,2010,56(8):4053-4060.
[9] BURATTI M.Recursive constructions for difference matrices and relative difference families[J].Journal of Combinatorial Designs,1998,6(3):165-182.
[10] 潘承洞,潘承彪.初等数论[M].2版.北京:北京大学出版社,2003:193-197.
[1] YANG Yang, YU Huangsheng,WU Dianhua. Bound and Construction for Optimal (n,{3,4,5},(2,3,1),1,Q)-OOCs [J]. Journal of Guangxi Normal University(Natural Science Edition), 2017, 35(4): 58-62.
[2] ZHANG Yufang, YU Huangsheng. Optimal Variable-Weight OOCs with Weight Set {3,4,7} [J]. Journal of Guangxi Normal University(Natural Science Edition), 2016, 34(1): 78-83.
[3] YU Huang-sheng, WU Dian-hua. A New Class of Optimal Variable-Weight OOCs [J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(4): 79-83.
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