We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches using combinatorial and additive (character sum) structures of finite fields. Consequently, we immediately obtain new classes of optical orthogonal codes with different parameters.
翻译:我们提出了一种利用多轨道循环子空间码构建大型光正交码的新方法,该方法借助了有限域扩张的乘法结构。这一途径不同于早期利用有限域的组合结构与加法结构(特征和)的方法。因此,我们直接获得了具有不同参数的新类型光正交码。