We propose an algorithm using the Gaussian elimination method to find the minimal Hamming distance and decode received messages of linear codes. This algorithm is easy to implement as it requires no Gr\"obner bases to compute solutions for systems of polynomial equations

翻译：我们提出一种利用高斯消元法来求取线性码的最小汉明距离并对接收消息进行译码的算法。该算法易于实现，因为它无需使用格罗布纳基来计算多项式方程组的解。