Abstract Multilength variable-weight optical orthogonal codes (MLVWOOCs) are recently proposed for supporting multirate and integrated multimedia services in optical code division multiple access (OCDMA) networks. In this paper, we consider ( N , M , W , 1 , Q ; λ ) -MLVWOOCs with λ = 2 (the minimum nontrivial intercross-correlation). Some upper bounds on code size are obtained under certain restrictions, an ( N , M , W , 1 , Q ; λ ) compatible difference packing (CDP) set system is introduced to construct an MLVWOOC, and an equivalence relation between a CDP set system and an MLVWOOC is established. Recursive constructions for MLVWOOCs are also presented. By using cyclotomic classes, disjoint skew starters and recursive constructions, infinite classes of MLVWOOCs with W = { 3 , 4 } and λ = 2 are obtained which are of optimal sizes reaching the upper bounds.

中文翻译：

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多长度可变权重光正交码的界和构造

摘要 最近提出了多长度可变加权光正交码 (MLVWOOC) 以支持光码分多址 (OCDMA) 网络中的多速率和集成多媒体服务。在本文中，我们考虑 ( N , M , W , 1 , Q ; λ ) -MLVWOOCs，其中 λ = 2（最小非平凡互相关）。在一定的限制条件下得到了一些代码大小的上限，引入了一个(N,M,W,1,Q;λ)兼容差分打包(CDP)集合系统来构造一个MLVWOOC，以及一个CDP集合系统之间的等价关系并建立了 MLVWOOC。还介绍了 MLVWOOC 的递归构造。通过使用分圆类、不相交的偏斜启动器和递归构造，无限类的 MLVWOOC，W = { 3 ，