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New Classes of Optimal VariableWeight Optical Orthogonal Codes Based on Cyclic Difference Families
Dianhua WU Pingzhi FAN Xun WANG Minquan CHENG
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E93A
No.11
pp.22322238 Publication Date: 2010/11/01
Online ISSN: 17451337
DOI: 10.1587/transfun.E93.A.2232
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Signal Design and its Application in Communications) Category: Sequences Keyword: optical orthogonal code, variableweight optical orthogonal code, difference family, cyclic difference family,
Full Text: PDF>>
Summary:
Variableweight optical orthogonal code (OOC) was introduced by GC Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirement. In this paper, a construction for optimal (υ, {3,4}, 1, {s/(s+1), 1/(s+1)})OOCs is given. For s=2, it is proved that for each prime υ≡ 1(mod 24), there exists a (υ, {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 (υ, {3,4}, 1, Q)OOCs for Q = {1/2, 1/2} and {2/3, 1/3} are constructed.

