IEICE Trans - New Infinite Classes of Optimal (υ, {<I>k</I>, 6}, 1, <I>Q</I>) Optical Orthogonal Codes via Quadratic Residues

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

Xiaorun ZHONG
Dianhua WU
Pingzhi FAN

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E95-A No.11 pp.1827-1834
Publication Date: 2012/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.1827
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)
Category: Sequences
Keyword:
cyclic packing, optical orthogonal code, quadratic residue, relative difference family,

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Summary:
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 (υ,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 (υ,{k,6},1,Q)-OOCs for k ∈ {3,4} are constructed.

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