最优变重量光正交码的一些构造
PDF下载 (387)袁 宁,王小苗.最优变重量光正交码的一些构造[J].宁波大学学报(理工版),2013,26(03):66-71.DOI:
YUAN Ning,WANG Xiao-miao.Some Constructions on Optimal Variable-weight Optical Orthogonal Codes[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(03):66-71.DOI:
| Title: | Some Constructions on Optimal Variable-weight Optical Orthogonal Codes |
| 作者: | 袁 宁, 王小苗 |
| Author(s): | YUAN Ning, WANG Xiao-miao |
| 关键词: | 填充设计; 光正交码; 变重量; 分圆类; 最优 |
| Keywords: | packing design; optical orthogonal code; variable-weight; cyclotomic class; optimal |
| 分类号: | O157.2 |
| 文献标识码: | A |
| 摘要: | 光正交码是具有良好的自相关性和互相关性的序列, 在光纤码分多址(OCDMA)系统中有重要的应用. 利用分圆类的方法, 给出了一些最优且 -正则的循环填充设计的直接构造. 通过建立循环填充设计与变重量光正交码之间的关系, 得到了权重为3和4的最优变重量光正交码的构造方法. 证明了当 时, 最优 -光正交码存在的无穷类. |
| Abstract: | An optical orthogonal code belongs to a family of sequences with good auto- and cross-correlation properties, which is applied in an optical code-division multiple access (OCDMA) system. Some direct constructions of optimal and g-regular cyclic packing design are presented using the method of cyclotomic class. With the relationship between cyclic packing and variable-weight optical orthogonal code, the constructions of optimal variable-weight optical orthogonal codes with weight three and four are obtained. When , several infinite classes of optimal -optical orthogonal codes are established. |
| 参考文献 /References: | [1] Salehi J A, Brackett C A. Code division multiple access technique in optical fiber network-PartⅡsystems performance analysis[J]. IEEE Trans Commum, 1989, 37(8):834-842. [2] Salehi J A. Code division multiple access techniques in optical fiber networks-partⅠfundamental principles[J]. IEEE Trans Commun, 1989, 37(8):824-833. [3] Jiang J, Wu D, Fan P. General constructions of optimal variable-weight optical orthogonal codes[J]. IEEE Trans Inform Theory, 2011, 57(7):4488-4496. [4] Yang G C. Variable-weight optical orthogonal codes for CDMA networks with multiple performance requirements [J]. IEEE Trans Commun, 1996, 44(1):47-55. [5] Wu D, Zhao H, Fan P, et al. Optimal variable-weight optical orthogonal codes via difference packing[J]. IEEE Trans Inform Theory, 2010, 56(8):4053-4060. [6] Zhao H, Wu D, Fan P. Constructions of optimal variable- weight optical orthogonal codes[J]. J Combin Des, 2010, 18(4):274-291. [7] Buratti M, Wei Y, Wu D, et al. Relative difference families with variable block size and their related OOCs[J]. IEEE Trans Inform Theory, 2011, 57(11):7489- 7497. [8] Zhao H, Wu D, Mo Z. Further results on optimal (v,{3,k},1,{1/2,1/2})-OOCs for k=4,5[J]. Discrete Math, 2011, 311(1):16-23. [9] Zhao H. On balanced optimal (18u,{3,4},1) optical orthogonal codes[J]. J Combin Des, 2012, 20(6):290- 303. [10] Chang Y, Ji L. Optimal (4up,5,1) optical orthogonal codes[J]. J Combin Des, 2004, 12(5):346-361. |
| 备注/Memo: | 收稿日期: 2013?03?11. 基金项目: 宁波大学科研基金（XKL11047, XKL11046, XK1058）.第一作者: 袁 宁（1988－）, 女, 陕西宝鸡人, 在读硕士研究生, 主要研究方向: 组合设计与编码理论. E-mail: yuanning1988@163.com *通信作者: 王小苗（1984－）, 女, 浙江温州人, 博士/讲师, 主要研究方向: 组合设计与编码理论. E-mail: wangxiaomiao@nbu.edu.cn. 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
