Lexicographic code

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]

  1. ^ 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
  2. ^ a b Conway, 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