Journal of Guangxi Normal University(Natural Science Edition) ›› 2016, Vol. 34 ›› Issue (3): 62-67.doi: 10.16088/j.issn.1001-6600.2016.03.009

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Construction of (6×v,{3,4},1,Q)-OOCs

WANG Yongzhen, YU Huangsheng, WU Dianhua   

  1. College of Mathematics and Statistics,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2016-04-14 Online:2016-09-30 Published:2018-09-17

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Abstract: Optical orthogonal code (1-D OOC) is the basis of optical code-division multiple access system. Two-dimensional OOC (2-D OOC) has better performance than that of the 1-D OOC. Existing constructions of 2-D variable-weight OOC are rarely seen. In this paper,by using skew starters,two new classes of two-dimensional variable-weight OOC ((6×v),{3,4},1,(4/5,1/5))-OOCs and (6×v,{3,4},1,(2/3,1/3))-OOCs are constructed. The (6×v,{3,4},1,(4/5,1/5)-OOCs are optimal. (6×v,{3,4},1,(2/3,1/3))-OOCs fails to be optimal by missing three codewords (two of weight 3 and one of weight 4) compared to the theoretical upper bound.

Key words: 2-D variable-weight optical orthogonal code, strictly cycle packing (SCP), skew starter, optimal

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. DOI:10.1109/26.31181.
[2] YANG G.Variable-weight optical orthogonal codes for CDMA networks with multiple performance requirements[J]. IEEE Transactions on Communications,1996,44(1): 47-55. DOI:10.1109/26.476096.
[3] 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. DOI:10.16088/j.issn.1001-6600.2011.04.014.
[4] 张玉芳,余黄生. 重量集为{3,4,7}的最优变重量光正交码[J]. 广西师范大学学报(自然科学版),2016,34(1): 78-83. DOI:10.16088/j.issn.1001-6600.2016.01.012.
[5] YANG G,KWONG W C.Performance comparison of multiwavelength CDMA and WDMA+CDMA for fiber-optic networks[J]. IEEE Transactions on Communications, 1997,45(11): 1426-1434. DOI:10.1109/26.649764.
[6] KWONG W C,YANG G. Double-weight signature pattern codes for multicore-fiber code-division multiple-access networks[J]. IEEE Communications Letters,2001,5(5): 203-205. DOI:10.1109/4234.922760.
[7] LIANG Wei,YIN Hongxi,QIN Liqiao,et al. A new family of 2D variable-weight optical orthogonal codes for OCDMA systems supporting multiple QoS and analysis of its performance[J]. Photonic Network Communications,2008,16(1): 53-60. DOI:10.1007/s11107-008-0117-2.
[8] CHENG Minquan, JIANG Jing, WU Dianhua. Bounds and constructions for two-dimensional variable-weight optical orthogonal codes[J]. J Combinatorial Designs,2014,22(9): 391-408. DOI:10.1002/jcd.21356.
[9] CHEN K,GE G,ZHU L. Starters and related codes[J]. J Statistical Planning and Inference,2000,86(2): 379-395. DOI:10.1016/S0378-3758(99)00119-6.
[10] GE G,YIN J. Constructions for optimal (v,4,1) optical orthogonal codes[J].IEEE Transactions on Information Theory,2001,47(7): 2998-3004. DOI:10.1109/18.959278.
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