Maximal (v, k, 2, 1) Optical Orthogonal Codes with k = 6 and 7 and Small Lengths

Optical orthogonal codes (OOCs) are used in optical code division multiple access systems to allow a large number of users communicate simultaneously with low error probability. The simultaneous is at most as big the codewords such code. We consider (v,k,2,1)-OOCs, namely OOCs length v, weight k, auto-correlation 2, and cross-correlation 1. An upper bound B0(v,k,2,1) on maximal an OOC was derived 1995. that meet this bound, however, very small. For k≤5, (v,k,2,1)-OOCs have already been thoroughly studied by many authors, new bounds were for (v,4,2,1) 2011, (v,5,2,1) 2012. In present paper, we determine constructively size (v,6,2,1)- (v,7,2,1)-OOCs v≤165 v≤153, respectively. Using types possible codewords, calculate B1(v,k,2,1)≤B0(v,k,2,1) each v≤720 v≤340,