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Here is a table of all n-bit lexicode by d-bit minimal hamming distance, resulting of maximum 2<sup>m</sup> codewords dictionnary.
For example, F<sub>4</sub> code (n=4,d=2,m=3), extended Hamming code (n=8,d=4,m=4) and especially Golay code (n=24,d=8,m=12) shows exceptional compactness compared to neighbors.
:{| class="wikitable"
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