Abstract

Optical orthogonal code (OOC) has good correlation properties. It has many important applications in a fiber-optic code-division multiple access channel. In this paper, a combinatorial construction for optimal (15 p , 5, 1) optical orthogonal codes with p congruent to 1 modulo 4 and greater than 5 is given by applying Weil’s Theorem. From this, when v is a product of primes congruent to 1 modulo 4 and greater than 5, an optimal (15 v , 5, 1)-OOC can be obtained by applying a known recursive construction.

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