论文标题
编码和解码几个最佳等级度量代码
Encoding and Decoding of Several Optimal Rank Metric Codes
论文作者
论文摘要
本文介绍了几个最佳等级度量代码家族的编码和解码算法，该量子的代码为对称，交替和赫米尔式矩阵的受限形式。首先，我们显示评估编码是这些代码的正确选择，然后我们为每个家庭提供了易于可逆的编码方法。稍后描述了代码的唯一解码算法。解码算法是基于插值的，并且可以在多项式时间内对每个代码的唯一正确正确正确的错误，最高为$ \ lfloor（d-1）/2 \ rfloor $，其中$ d $是代码的最小距离。
This paper presents encoding and decoding algorithms for several families of optimal rank metric codes whose codes are in restricted forms of symmetric, alternating and Hermitian matrices. First, we show the evaluation encoding is the right choice for these codes and then we provide easily reversible encoding methods for each family. Later unique decoding algorithms for the codes are described. The decoding algorithms are interpolation-based and can uniquely correct errors for each code with rank up to $\lfloor(d-1)/2\rfloor$ in polynomial-time, where $d$ is the minimum distance of the code.
