New Infinite Classes of Optimal (v,{k,6},1,Q) Optical Orthogonal Codes via Quadratic Residues

Xiaorun ZHONG; Dianhua WU; Pingzhi FAN

doi:10.1587/transfun.E95.A.1827

Special Section on Signal Design and Its Applications in Communications

New Infinite Classes of Optimal (v,{k,6},1,Q) Optical Orthogonal Codes via Quadratic Residues

Xiaorun ZHONG, Dianhua WU, Pingzhi FAN

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Keywords: cyclic packing, optical orthogonal code, quadratic residue, relative difference family

JOURNAL RESTRICTED ACCESS

2012 Volume E95.A Issue 11 Pages 1827-1834

DOI https://doi.org/10.1587/transfun.E95.A.1827

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Abstract

Variable-weight optical orthogonal codes (OOCs) were introduced by Yang for multi-media optical CDMA systems with multiple quality of service (QoS) requirements. Some works had been done on the existence of optimal (v,W,1,Q)-OOCs for W ∈ {{3,4},{3,5},{4,5}}. In this paper, by using quadratic residues, seven new infinite classes of optimal (v,{k,6},1,Q)-OOCs for k ∈ {3,4} are constructed.

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