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.
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