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Search: id:A075926
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| A075926 |
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List of codewords in binary lexicode with Hamming distance 3 written as decimal numbers. |
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+0
4
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| 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
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This is also the (infinite) d=3 Hamming code.
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REFERENCES
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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.
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LINKS
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Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs
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CROSSREFS
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Cf. A075928, A075929, A075930, A075927, A057716, A075931.
Sequence in context: A074783 A065658 A034125 this_sequence A065660 A100496 A110081
Adjacent sequences: A075923 A075924 A075925 this_sequence A075927 A075928 A075929
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KEYWORD
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nonn,easy
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AUTHOR
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Bob Jenkins (bob_jenkins(AT)burtleburtle.net)
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