In this paper, we study the weight spectrum of linear codes with \emph{super-linear} field size and use the probabilistic method to show that for nearly all such codes, the corresponding weight spectrum is very close to that of a maximum distance separable (MDS) code.
翻译:在本文中,我们用 emph{超级线性} 字段大小研究线性代码的重量范围,并使用概率法表明,几乎所有此类代码的相应重量范围都非常接近于最大距离可分离代码的重量范围。