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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.

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  1. Error detection and correction
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