 Generalized minimum-distance decoding

Generalized Minimum-Distance (GMD) decoding is a technique used in coding theory to decode messages received over a noisy channel. It is particularly applicable to linear codes and helps improve the performance of decoding by leveraging the concepts of minimum distance and error patterns in a more generalized manner. ### Key Concepts 1. **Minimum Distance**: In coding theory, the minimum distance \(d\) between two codewords in a code is the smallest number of positions in which the codewords differ.