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

Author

N. J. A. Sloane, Jul 20 2021

Keywords

• nonn
• base

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.

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.

Programs

Maple

(See A346000).