Lexicographic codes or lexicodes are greedily generated error-correcting codes with remarkably good properties. They were produced independently by
Vladimir Levenshtein[1] and by John Horton Conway and Neil Sloane.[2] The binary lexicographic codes are linear codes, and include the Hamming codes and the binary Golay codes.[2]
^Levenšteĭn, V. I. (1960), "Об одном классе систематических кодов" [A class of systematic codes], Doklady Akademii Nauk SSSR (in Russian), 131 (5): 1011–1014, MR 0122629; English translation in Soviet Math. Doklady 1 (1960), 368–371
^ abConway, John H.; Sloane, N. J. A. (1986), "Lexicographic codes: error-correcting codes from game theory", IEEE Transactions on Information Theory, 32 (3): 337–348, CiteSeerX 10.1.1.392.795, doi:10.1109/TIT.1986.1057187, MR 0838197
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