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A075926 List of codewords in binary lexicode with Hamming distance 3 written as decimal numbers. 3
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This is also the (infinite) d=3 Hamming code.

LINKS

Table of n, a(n) for n=0..52.

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.

Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

CROSSREFS

Cf. A075928, A075929, A075930, A075927, A057716, A075931.

Sequence in context: A196013 A272366 A327107 * A065660 A100496 A110081

Adjacent sequences:  A075923 A075924 A075925 * A075927 A075928 A075929

KEYWORD

nonn,easy,base

AUTHOR

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

STATUS

approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)