通过半循环可分组设计构造变重量光正交码（英文）  

Variable-weight OOCs via Semi-cyclic Group Divisible Designs

作　　者：覃荣存[1] 赵恒明 QIN Rongcun;ZHAO Hengming(Xingjian College of Science and Liberal Arts,Guangxi University,Nanning,Guangxi,530005,P.R.China;Guangxi College of Education,Nanning,Guangxi,530023,P.R.China)

机构地区：[1]广西大学行健文理学院,广西南宁530005 [2]广西教育学院,广西南宁530023

出　　处：《数学进展》2019年第6期699-711,共13页Advances in Mathematics（China）

基　　金：Supported by Guangxi Science Foundation(No.2018GXNSFBA138038);the Project of Basic Ability Improvement of Young and Middle-aged Teachers of Universities in Guangxi(No.2017KY1301)

摘　　要：为了满足多媒体光码分多址多种不同的服务质量要求,杨谷章引入了变重量光正交码.本文首次引入参数为(W,Q)的半循环可分组设计来构造变重量光正交码.因此,通过参数为(W,Q)的半循环可分组设计和完备相对差族可构造几类新的最优平衡(v,{3,4},1)变重量光正交码.Variable-weight optical orthogonal codes(OOCs)were introduced by Yang for multimedia optical CDMA systems with multiple quality of service(QoS)requirements.In this paper,(W,Q)semi-cyclic group divisible designs((W,Q)-SCGDDs)are first introduced to construct variable-weight OOCs.Consequently,several new optimal balanced(v,{3,4},1)-OOCs are obtained by using(W,Q)-SCGDDs and perfect relative difference families.

关 键 词：循环填充 相对差族 半循环可分组设计 变重量光正交码 

分 类 号：O157.2[理学—数学]