New Classes of Optimal Variable-Weight Optical Orthogonal Codes with Hamming Weights 3 and 4

Xiyang LI; Pingzhi FAN; Naoki SUEHIRO; Dianhua WU

doi:10.1587/transfun.E95.A.1843

Special Section on Signal Design and Its Applications in Communications

New Classes of Optimal Variable-Weight Optical Orthogonal Codes with Hamming Weights 3 and 4

Xiyang LI, Pingzhi FAN, Naoki SUEHIRO, Dianhua WU

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Keywords: variable-weight optical orthogonal codes, cyclic packing, cyclic difference matrix

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2012 Volume E95.A Issue 11 Pages 1843-1850

DOI https://doi.org/10.1587/transfun.E95.A.1843

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Abstract

Variable-weight optical orthogonal codes (OOCs) have application in multimedia optical code division multiple access (OCDMA) systems supporting multiple quality of services (QoS). In this paper, several combinatorial constructions for optimal variable-weight OOCs are presented explicitly. A useful recursive construction for optimal variable-weight OOCs is proposed as well. Based on these results, two new infinite classes of optimal variable-weight OOCs with Hamming weights 3 and 4 are obtained.

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