Abstract | ||
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In 1996, Yang introduced variable-weight optical orthogonal code for multimedia optical CDMA systems with multiple quality of service (QoS) requirements. Let W={w1,…,wr} be an ordering of a set of r integers greater than 1, λ be a positive integer (auto- and cross-correlation parameter), and Q=(q1,…,qr) be an r-tuple (weight distribution sequence) of positive rational numbers whose sum is 1. A (v,W,λ,Q) variable-weight optical orthogonal code ((v,W,λ,Q)-OOC) is a collection of (0,1) sequences with weights in W, auto- and cross-correlation parameter λ. Some work has been done on the construction of optimal (v,W,1,Q)-OOCs, while little is known on the construction of (v,W,λ,Q)-OOCs with λ≥2. It is well known that (v,W,λ,Q)-OOCs with λ≥2 have much bigger cardinality than those of (v,W,1,Q)-OOCs for the same v,W,Q. In this paper, a new upper bound on the number of codewords of (v,W,λ,Q)-OOCs is given, and infinite classes of optimal (v,{3,4},2,Q)-OOCs are constructed. |
Year | DOI | Venue |
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2014 | 10.1016/j.disc.2014.03.028 | Discrete Mathematics |
Keywords | Field | DocType |
Cyclic packing,H design,Optical orthogonal code,Rotational Steiner quadruple systems,Variable-weight OOC | Integer,Discrete mathematics,Combinatorics,Rational number,Upper and lower bounds,Tuple,Cardinality,Weight distribution,Optical cdma,Mathematics | Journal |
Volume | ISSN | Citations |
328 | 0012-365X | 0 |
PageRank | References | Authors |
0.34 | 11 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jingyuan Chen | 1 | 0 | 0.34 |
D. Wu | 2 | 7 | 2.25 |
Ying Miao | 3 | 491 | 43.85 |