光学正交码的一类新的结果

Some New Results of Optimal Optical Orthogonal Codes(OOCs)

光学正交码因其良好的关联性质而有很多重要的应用,最近的研究集中于将光学正交码应用在基于光纤管道的局域网(LANs)和CDMA系统的多媒体传输中.针对给出的一类新的光学正交码进行探讨,即最优(3s7s5v,5,1)光学正交码,其中v=5tw,t≥s,t,s为非负数,w为模4余1的素数的乘积.

Optical orthogonal codes（OOCs） have many important applications because of their good correlation properties. Recent work has been done on using OOCs for multimedia transmission in fiber-optic lo- cal-area networks（LANs） and in multi-rate fiber-optic CDMA systems. In this note, we establish that there exists an optimal （3^s 7^s 5v,5,1） -OOC, v = 5^t w,t ≥ s , for any nonnegative integer t and s where w is a product of primes congruent to 1 modulo 4. This improves the known existence results concerning optimal OOCs