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3.10. Decoding One Out of Many

The final session of this week is devoted to Decoding One Out of Many. Decoding One Out of Many is interested in solving the following variant of Syndrome Decoding. In this variant, the only difference with the usual Syndrome Decoding is that we are interested in a set of syndromes rather than a single syndrome. So, the instance will be S, a set of syndromes of size N. H, a parity-check matrix and w an integer, the weight we are looking for. And we are interested in an error e, such that ...
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