New Classes of Optimal Variable-Weight Optical Orthogonal Codes Based on Cyclic Difference Families

Dianhua WU; Pingzhi FAN; Xun WANG; Minquan CHENG

doi:10.1587/transfun.E93.A.2232

Special Section on Signal Design and its Application in Communications

New Classes of Optimal Variable-Weight Optical Orthogonal Codes Based on Cyclic Difference Families

Dianhua WU, Pingzhi FAN, Xun WANG, Minquan CHENG

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Keywords: optical orthogonal code, variable-weight optical orthogonal code, difference family, cyclic difference family

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2010 Volume E93.A Issue 11 Pages 2232-2238

DOI https://doi.org/10.1587/transfun.E93.A.2232

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Abstract

Variable-weight optical orthogonal code (OOC) was introduced by G-C Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirement. In this paper, a construction for optimal (v, {3, 4}, 1, {s/(s+1), 1/(s+1)})-OOCs is given. For s = 2, it is proved that for each prime v ≡ 1 (mod 24), there exists a (v, {3, 4}, 1, {2/3, 1/3})-OOC. A recursive construction for cyclic difference family is also presented. By using these constructions, a number of new infinite classes of optimal (v, {3, 4}, 1, Q)-OOCs for Q = {1/2, 1/2} and {2/3, 1/3} are constructed.

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