Abstract

Let W={w1,w2,…,wr} be an ordering of a set of r integers greater than 1, Λa=(λa(1),λa(2),…,λa(r)) be an r-tuple of positive integers, λc be a positive integer, and Q=(q1,q2,…,qr) be an r-tuple of positive rational numbers whose sum is 1. In 1996, Yang introduced variable-weight optical orthogonal code ((n,W,Λa,λc,Q)-OOC) for multimedia optical CDMA systems with multiple quality of service (QoS) requirements. Some work had been done on the constructions of optimal (n,{3,4},Λa,1,Q)-OOCs with unequal auto- and cross-correlation constraints. In this paper, we focus our main attention on (n,{3,5},Λa,1,Q)-OOCs, where Λa∈{(1,2),(2,1),(2,2)}. Tight upper bounds on the maximum code size of an (n,{3,5},Λa,1,Q)-OOC are obtained, and infinite classes of optimal balanced (n,{3,5},Λa,1)-OOCs are constructed.

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