两类权重为3的二维光正交码的容量及构造

Two Classes of Optical Orthogonal Code with Weight 3

自1989年提出光正交码的概念以来,关于光正交码的最大容量及构造方法一度成为组合设计与编码理论领域的研究热点。光正交码是为码分多址光纤信道而设计的专用码。本文运用组合计数和代数方法确定了汉明重为3,自相关值为1、2,互相关值为2的两类二维光正交码的最大容量,并给出相应码字结构。

The optical orthogonal code had been studied since 1989. The study of optical orthogonal codes has been motivated by applications in optical code-division multiple access system. In this paper, the maximum volume has been determined for two classes of two dimensional optical orthogonal codes of hamming weight 3 with auto-correlation parameter that is 1,2 and cross-correlation parameter is 2, and gave the direct construction of it.