Further results on balanced [formula omitted]-OOCs

Abstract

Let W={w1,…,wr} be an ordering of a set of r integers greater than 1, Λa=(λa(1),…,λa(r)) be an r-tuple of positive integers, λc be a positive integer, and Q=(q1,…,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. Most existing works on variable-weight optical orthogonal codes assume that λa(1),…,λa(r)=λc=1. In this paper, new balanced (n,{3,4},Λa,1)-OOCs are constructed, where Λa∈{(1,2),(2,1),(2,2)}.