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

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

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 residue...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2012/11/01, Vol.E95.A(11), pp.1827-1834
Hauptverfasser: ZHONG, Xiaorun, WU, Dianhua, FAN, Pingzhi
Format: Artikel
Sprache:eng
Schlagworte:
cyclic packing
optical orthogonal code
quadratic residue
relative difference family
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Zusammenfassung: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.
ISSN:0916-8508
1745-1337
DOI:10.1587/transfun.E95.A.1827