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New Constructions of Optimal Optical Orthogonal Codes Based on Partitionable Sets and Almost Partitionable Sets

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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, partitionable sets and almost partitionable sets… Click to show full abstract

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, partitionable sets and almost partitionable sets are used to construct variable-weight OOCs. Four new recursive constructions for optimal cyclic packing are presented. Consequently, new infinite classes of optimal $(v,W,1,Q)$ -OOCs are obtained.

Keywords: optical orthogonal; constructions optimal; sets almost; partitionable sets; almost partitionable; orthogonal codes

Journal Title: IEEE Transactions on Information Theory
Year Published: 2023

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