Constructions for optimal (v, 4, 1) optical orthogonal codes
Four direct constructions, three of which are by way of skew starters, are given in this correspondence for optimal (v, 4, 1) optical orthogonal codes (OOC's). These improve the known existence results concerning optimal (v, 4, 1)-OOCs. In particular, it is shown that an optimal (v, 4, 1)-OOC exists for all positive integers v = 6 (mod 12) or v = 24 (mod 48). It is also shown that an optimal (12v, 4, 1)-OOC exists for any positive integer v whose prime factors are all congruent to 1 modulo 4.
optimal skew starters cyclic packing optical orthogonal code (ooc) regular