论文标题
改进的误差范围，用于芦苇 - 固体代码的距离分布
Improved error bounds for the distance distribution of Reed-Solomon codes
论文作者
论文摘要
我们使用生成函数方法来得出简单的表达式，以在Reed-Solomon代码上的距离分布的阶乘矩中得出简单的表达。我们为Li和Wan给出的计数公式的误差项获得了更好的上限，该计数公式对具有规定的领先系数和给定数量的线性因子的有限场上的多项式数量进行了非平地估计。这种改进会导致有关芦苇所罗门代码深孔分类的新结果。
We use the generating function approach to derive simple expressions for the factorial moments of the distance distribution over Reed-Solomon codes. We obtain better upper bounds for the error term of a counting formula given by Li and Wan, which gives nontrivial estimates on the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors. This improvement leads to new results on the classification of deep holes of Reed Solomon codes.
