一类最优光正交码的组合构作

光正交码具有良好的光学相关特性, 它特别适用于光纤信道上的码分多址系统. 利用Weil定理给出了参数为(15p , 5,1)的最优光正交码的组合构作, 其中p为模4余1且大于5的素数. 由此, 当正整数v 的质因子均为模4余1且大于5的素数时, (15v, 5,1)最优光正交码可利用已知的递归构造方法得到.     

（v,6,3）—PMDs的存在性

一个参数为（ν，ｋ，λ）的完全的门德尔逊设计简记为（ν，ｋ，λ）－ＰＭＤ。对于ｋ＝３，４，５及７这类设计的存在性问题已被不少作者研究。文［８］对最近的结果和方法作了评述。但对于（ν，６，λ）－ＰＭＤｓ的存在性问题尚待人们去解决。一个（ν，６，λ）－ＰＭＤ存在的必要条件是：（１）ν≡０，１（ｍｏｄ３），当λ     

The combinatorial construction for a class of optimal optical orthogonal codes

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 withp congruent to 1 modulo 4 and greater than 5 is given by applying Weil's Theorem. From this, whenv 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.     

五元集对二元集的填充——v≡0（mod4）

Let D(v) dente the maximum number of quintuples of a v-set of points X with the property that every pair of distinct points of X occurs in at most one quintuple,Let B(v)=[v(v-1)/4]/5],It is shown is this paper that D(v)=B(v) for all v≡0 (mod 4)with 2 exceptions and 13 possible exceptions.