General Constructions for (v,4,1) Optical Orthogonal Codes via Perfect Difference Families

Abstract

Optical orthogonal codes (OOCs) were introduced by Salehi, as signature sequences to facilitate multiple access in optical fibre networks. The existence of optimal (v,3,1)-OOCs had been solved completely. Although there are some partial results, the existence of optimal (v,4,1)-OOCs is far from settled. In this letter, three general constructions for (v,4,1)-OOCs via perfect difference families are presented, new infinite classes of (v,4,1)-OOCs are then obtained.