Journal of Guangxi Normal University(Natural Science Edition) ›› 2016, Vol. 34 ›› Issue (1): 78-83.doi: 10.16088/j.issn.1001-6600.2016.01.012

Previous Articles     Next Articles

Optimal Variable-Weight OOCs with Weight Set {3,4,7}

ZHANG Yufang1, YU Huangsheng2   

  1. 1. College of Lijiang, Guangxi Normal University,Guilin Guangxi 541006,China;
    2.College of Mathematics and Statistics,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2015-10-29 Published:2018-09-14

Abstract: In this paper,by using one kind of combinatorial design,it is proved that there exists an optimal 57-regular 2-CP{3,4,7},1,813,113,413,57p for each prime p≡1(mod 4) and p>5. Then it is proved that there exists an optimal 57p,{3,4,7},1,813,113,413-OOC for each prime p≡1(mod 4) and p≥5.

Key words: optimal variable-weitht optical orthogonal code, quadruple system, cyclic packing

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] SALEHI J A,BRACKETT C A.Code division multiple-access techniques in optical fiber networks:part II:systems performance analysis[J]. IEEE Transactions on Communications,1989,37(8):834-842. DOI:10.1109/26.31182.
[3] GU F R,WU J. Construction and performance analysis of variable-weight optical orthogonal codes for asynchronous optical CDMA systems[J]. J Lightw Technol,2005,23(2):740-748. DOI:10.1109/JLT.2004.838880.
[4] YANG G C. 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.
[5] YIN Jianxing. Some combinatorial constructions for optical orthogonal codes[J]. Discr Math,1998,185(1/2/3):201-219. DOI:10.1016/S0012-365X(97)00172-6.
[6] BURATTI M,WEI Yueer,WU Dianhua,et al.Relative difference families with variable block sizes and their related OOCs[J].IEEE Transactions on Information Theory,2011,57(11):7489-7497. DOI:10.1109/TIT.2011.2162225.
[7] JIANG J,WU D,FAN P.General constructions of optimal variable-weight optical orthogonal codes[J].IEEE Transactions on Information Theory,2011,57(7):4488-4496. DOI:10.1109/TIT.2011.2146110.
[8] WU D,ZHAO H,FAN P,et al.Optimal variable-weight optical orthogonal codes via difference packings[J].IEEE Transactions on Information Theory,2010,56(8):4053-4060. DOI:10.1109/TIT.2010.2050927.
[9] 韦月尔,莫正方,吴佃华. 最优变重量光正交码的构造[J].广西师范大学学报(自然科学版),2010,28(4):58-61. DOI:10.16088/j.issn.1001-6600.2010.04.022.
[10] 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.
[11] 吴佃华,童佳.最优(v,{3,4,5,6},1,Q)光正交码的构造[J].广西师范大学学报(自然科学版),2012,30(3):1-6. DOI:10.16088/j.issn.1001-6600.2012.03.032.
[1] WU Dian-hua, TONG Jia. Constructions of Optimal (v,{3,4,5,6},1,Q)-OOCs [J]. Journal of Guangxi Normal University(Natural Science Edition), 2012, 30(3): 1-6.
[2] 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.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] MENG Chunmei, LU Shiyin, LIANG Yonghong, MO Xiaomin, LI Weidong, HUANG Yuanjie, CHENG Xiaojing, SU Zhiheng, ZHENG Hua. Electron Microscopy Study on the Apoptosis and Autophagy of the Hepatic Stellate Cells Induced by Total Alkaloids[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 76 -79 .
[2] LI Yuhui, CHEN Zening, HUANG Zhonghao, ZHOU Qihai. Activity Time Budget of Assamese macaque (Macaca assamensis) during Rainy Season in Nonggang Nature Reserve, Guangxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 80 -86 .
[3] QIN Yingying, QI Guangchao, LIANG Shichu. Effects of Eichhornia crassipes Aqueous Extracts on Seed Germination of Ottelia acuminata var. jingxiensis[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 87 -92 .
[4] ZHUANG Fenghong, MA Jiangming, ZHANG Yajun, SU Jing, YU Fangming. Eco-Physiological Responses of Leaves of Isoetes sinensis to Light Intensity[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 93 -100 .
[5] WEI Hongjin, ZHOU Xile, JIN Dongmei, YAN Yuehong. Additions to the Pteridophyte Flora of Hunan, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 101 -106 .
[6] BAO Jinping, ZHENG Lianbin, YU Keli, SONG Xue, TIAN Jinyuan, DONG Wenjing. Skinfold Thickness Characteristics of Yi Adults in Daliangshan,China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 107 -112 .
[7] LIN Yongsheng, PEI Jianguo, ZOU Shengzhang, DU Yuchao, LU Li. Red Bed Karst and Its Hydrochemical Characteristics of Groundwater in the Downstream of Qingjiang River, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 113 -120 .
[8] ZHANG Ru, ZHANG Bei, REN Hongrui. Spatio-temporal Dynamics Analysis and Its Affecting Factors of Cropland Loss in Xuangang Mining Area, Shanxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 121 -132 .