Information on Result #654797
Linear OA(8111, 118, F81, 8) (dual of [118, 107, 9]-code), using construction X applied to AG(F,106P) ⊂ AG(F,108P) based on
- linear OA(8110, 115, F81, 8) (dual of [115, 105, 9]-code), using algebraic-geometric code AG(F,106P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(818, 115, F81, 6) (dual of [115, 107, 7]-code), using algebraic-geometric code AG(F,108P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8144, 6680, F81, 17) (dual of [6680, 6636, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8160, 531560, F81, 17) (dual of [531560, 531500, 18]-code) | [i] | ||
| 3 | Linear OA(8142, 6679, F81, 16) (dual of [6679, 6637, 17]-code) | [i] | ||
| 4 | Linear OA(8157, 531559, F81, 16) (dual of [531559, 531502, 17]-code) | [i] | ||
| 5 | Linear OA(8144, 6681, F81, 17) (dual of [6681, 6637, 18]-code) | [i] | ||
| 6 | Linear OA(8160, 531562, F81, 17) (dual of [531562, 531502, 18]-code) | [i] | ||
| 7 | Linear OA(8142, 6681, F81, 16) (dual of [6681, 6639, 17]-code) | [i] | ||
| 8 | Linear OA(8157, 531562, F81, 16) (dual of [531562, 531505, 17]-code) | [i] | ||