Constructions of optimal two-dimensional optical orthogonal codes with AM-OPPW restriction for  = 2.

Two-dimensional optical orthogonal codes (2-D OOCs) are of current practical interest as they enable optical communication at a lower chip rate. In this paper, we are concerned about optimal 2-D (u×v,k,2)-OOCs with at most one-pulse per wavelength (AM-OPPW) restriction. An improved upper bound on the size of optimal AM-OPPW 2-D (u×v,k,2)-OOCs is derived, some combinatorial constructions are presented and many new infinite families of optimal AM-OPPW 2-D (u×v,4,2)-OOCs are obtained.