The combinatorial construction for a class of optimal optical orthogonal codes

【摘要】 <正>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 (15p, 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 (15v, 5,1)-OOC can be obtained by applying a known recursive construction.更多还原

【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 (15p, 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 (15v, 5,1)-OOC can be obtained by applying a known recursive construction.更多还原