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A348465
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a(n) = minimum L such that a ternary linear code of length L, dimension 6, and minimum distance n exists.
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0
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6, 7, 9, 10, 11, 12, 15, 17, 18, 20, 21, 22, 24, 25, 26, 29, 30, 31
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OFFSET
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1,1
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COMMENTS
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In other words, such that an [L,6,n]_3 code exists. In coding theory n usually denotes the length of the code, but OEIS conventions force us to use this nonstandard notation.
Sawashima-Maruta give a table for n <= 360 with only a few gaps, the first being at n = 19. It is known that a(19) is 33 or 34.
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REFERENCES
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Sawashima, Toshiharu, and Tatsuya Maruta. "Nonexistence of some ternary linear codes." Discrete Mathematics 344.11 (2021): #112572.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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