Constructions of optimal optical orthogonal codes with weight five

Several direct constructions via skew starters and Weil's theorem on character sum estimates are given in this paper for optimal (gv, 5, 1) optical orthogonal codes (OOCs) where 60 less than or equal to g less than or equal to 180 satisfying g equivalent to 0 (mod 20) and v is a product of primes greater than 5. These improve the known existence results on optimal OOCs. Especially, we provide an optimal (v,5,1)-OOC for any integer v equivalent to 60, 420, 660, 780 1020, 1140 1380, 1740 (mod 1800). (C) 2004 Wiley Periodicals, Inc.