A348465 - OEIS

A348465

a(n) = minimum L such that a ternary linear code of length L, dimension 6, and minimum distance n exists.

6, 7, 9, 10, 11, 12, 15, 17, 18, 20, 21, 22, 24, 25, 26, 29, 30, 31

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OFFSET

1,1

COMMENTS

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.

REFERENCES

Sawashima, Toshiharu, and Tatsuya Maruta. "Nonexistence of some ternary linear codes." Discrete Mathematics 344.11 (2021): #112572.

LINKS

Table of n, a(n) for n=1..18.

CROSSREFS

Sequence in context: A094868 A131956 A205720 * A102740 A248178 A284094

Adjacent sequences: A348462 A348463 A348464 * A348466 A348467 A348468

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Oct 31 2021

STATUS

approved