(6×v,{3,4},1,Q)光正交码的构造

Construction of (6×v,{3,4},1,Q)-OOCs

光正交码(OOC)是光码分多址通信系统的基础,二维光正交码比一维光正交码具有更好的性能。二维变重量光正交码目前研究结果少。本文利用斜Starter构造了两类二维变重量光正交码(6×v,{3,4},1,(4/5,1/5))-OOC和(6×v,{3,4},1,(2/3,1/3))-OOC,其中第一类是最优的,第二类码字个数比理论上界少3个。

Abstract. Optical orthogonal code （1-D OOC） is the basis of optical code-division multiple access system. Two-dimensional OOC （2-D OOC） has better performance than that of the 1-D OOC. Existing constructions of 2-D variable-weight OOC are rarely seen. In this paper, by using skew starters, two new classes of two-dimensional variable-weight OOC （ 6 X v, { 3,4},1, （4/5,1/5 ） ）-OOCs and （6 X v, { 3,4},1, （2/3,1/3））-OOCs are constructed. The （6 X v, { 3,4},1, （4/5,1/5）-OOCs are optimal. （6 X v, { 3,4},1, （2/3,1/3））-OOCs fails to be optimal by missing three eodewords （two of weight 3 and one of weight 4） compared to the theoretical upper bound.