A346002 Distance 2 lexicode over the alphabet {0,1,2}, with the codewords written in base 10.

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

Offset

1,2

Comments

Lexicographically earliest sequence of ternary words such that any two distinct words differ in at least 2 positions.

Links

Table of n, a(n) for n=1..61.

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

Adjacent sequences: A345999 A346000 A346001 * A346003 A346004 A346005

Keyword

nonn,base

Author

N. J. A. Sloane, Jul 20 2021

Status

approved