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A346002 Distance 2 lexicode over the alphabet {0,1,2}, with the codewords written in base 10. 5
0, 4, 8, 10, 12, 20, 24, 28, 30, 36, 40, 44, 50, 52, 56, 60, 68, 70, 72, 76, 80, 82, 84, 90, 94, 98, 104, 106, 108, 112, 116, 118, 120, 128, 132, 140, 142, 146, 150, 154, 156, 164, 168, 176, 178, 180, 184, 188, 194, 196, 200, 204, 208, 210, 216, 220, 224, 226, 228, 236, 240 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Lexicographically earliest sequence of ternary words such that any two distinct words differ in at least 2 positions.
LINKS
J. H. Conway, Integral lexicographic codes, Discrete Mathematics 83.2-3 (1990): 219-235.
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.
MAPLE
(See A346000).
CROSSREFS
Lexicodes of minimal distance 1,2,3,... over alphabets of size 2: A001477, A001969, A075926, A075928, A075931, A075934, ...; size 3: A001477, A346002, A346003; size 10: A001477, A343444, A333568, A346000, A346001.
Sequence in context: A310983 A238749 A310984 * A295265 A172153 A310985
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Jul 20 2021
STATUS
approved

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Last modified June 17 10:05 EDT 2024. Contains 373445 sequences. (Running on oeis4.)