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A075926
List of codewords in binary lexicode with Hamming distance 3 written as decimal numbers.
14
0, 7, 25, 30, 42, 45, 51, 52, 75, 76, 82, 85, 97, 102, 120, 127, 385, 390, 408, 415, 427, 428, 434, 437, 458, 461, 467, 468, 480, 487, 505, 510, 642, 645, 667, 668, 680, 687, 689, 694, 713, 718, 720, 727, 739, 740, 762, 765, 771, 772, 794, 797, 809
OFFSET
0,2
COMMENTS
This is also the (infinite) d=3 Hamming code.
LINKS
J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.
R. W. Hamming, Error Detecting and Error Correcting Codes, Bell System Tech. J., Vol. 29, April, 1950, pp. 147-160.
CROSSREFS
KEYWORD
nonn,easy,base
AUTHOR
Bob Jenkins (bob_jenkins(AT)burtleburtle.net)
STATUS
approved