Three new families of optimal variable-weight optical orthogonal codes

Abstract

In optical communication systems supporting multiple quality-of-services, variable-weight optical orthogonal codes (VW-OOCs) are employed as spreading codes. In this paper, we present three new families of optimal VW-OOCs with length (q − 1)N and maximum correlation value 1, where q is a prime power and N is a positive integer with gcd(q − 1, N) = 1. These new optimal VW-OOCs can be obtained from optimal constant-weight optical orthogonal codes of length N. Compared with the previously known optimal VW-OOCs, these families can have codewords of higher weights.