A new class of optimal optical orthogonal codes with weight six

Abstract

In this paper, we give a direct construction for g-regular cyclic difference packings CDP(6, 1; gp)'s by utilizing Weil's theorem on character sum estimates over GF(p) with prime congruent to 7 modulo 12 and greater than 7, where g = 15, 20. As its application, we obtain a new class of optimal (gv, 6, 1) optical orthogonal codes with v a product of primes congruent to 7 modulo 12 and greater than 7 and g = 15, 20, 105, 140.