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A346002 Distance 2 lexicode over the alphabet {0,1,2}, with the codewords written in base 10. 5

%I #12 Jul 20 2021 15:16:49

%S 0,4,8,10,12,20,24,28,30,36,40,44,50,52,56,60,68,70,72,76,80,82,84,90,

%T 94,98,104,106,108,112,116,118,120,128,132,140,142,146,150,154,156,

%U 164,168,176,178,180,184,188,194,196,200,204,208,210,216,220,224,226,228,236,240

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

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

%H J. H. Conway, <a href="https://doi.org/10.1016/0012-365X(90)90008-6">Integral lexicographic codes</a>, Discrete Mathematics 83.2-3 (1990): 219-235.

%H J. H. Conway and N. J. A. Sloane, <a href="https://doi.org/10.1109/TIT.1986.1057187">Lexicographic codes: error-correcting codes from game theory</a>, IEEE Transactions on Information Theory, 32:337-348, 1986.

%p (See A346000).

%Y 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.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_, Jul 20 2021

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