论文标题
线性MSRD代码具有各种矩阵大小和不受限制的长度
Linear MSRD codes with Various Matrix Sizes and Unrestricted Lengths
论文作者
论文摘要
达到单例绑定的总和级金属代码称为最大总和率距离（MSRD）。已为某些参数情况构建了MSRD代码。 In this paper we construct a linear MSRD code over an arbitrary field ${\bf F}_q$ with various matrix sizes $n_1>n_2>\cdots>n_t$ satisfying $n_i \geq n_{i+1}^2+\cdots+n_t^2$ for $i=1, 2, \ldots, t-1$ for any given minimum sum-rank distance.
A sum-rank-metric code attaining the Singleton bound is called maximum sum-rank distance (MSRD). MSRD codes have been constructed for some parameter cases. In this paper we construct a linear MSRD code over an arbitrary field ${\bf F}_q$ with various matrix sizes $n_1>n_2>\cdots>n_t$ satisfying $n_i \geq n_{i+1}^2+\cdots+n_t^2$ for $i=1, 2, \ldots, t-1$ for any given minimum sum-rank distance.
