Information on Result #654795
Linear OA(8112, 118, F81, 9) (dual of [118, 106, 10]-code), using construction X applied to AG(F,105P) ⊂ AG(F,107P) based on
- linear OA(8111, 115, F81, 9) (dual of [115, 104, 10]-code), using algebraic-geometric code AG(F,105P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(819, 115, F81, 7) (dual of [115, 106, 8]-code), using algebraic-geometric code AG(F,107P) [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(8149, 6680, F81, 19) (dual of [6680, 6631, 20]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(8167, 531560, F81, 19) (dual of [531560, 531493, 20]-code) | [i] | ||
3 | Linear OA(8147, 6679, F81, 18) (dual of [6679, 6632, 19]-code) | [i] | ||
4 | Linear OA(8164, 531559, F81, 18) (dual of [531559, 531495, 19]-code) | [i] | ||
5 | Linear OA(8149, 6681, F81, 19) (dual of [6681, 6632, 20]-code) | [i] | ||
6 | Linear OA(8167, 531562, F81, 19) (dual of [531562, 531495, 20]-code) | [i] | ||
7 | Linear OA(8147, 6681, F81, 18) (dual of [6681, 6634, 19]-code) | [i] | ||
8 | Linear OA(8164, 531562, F81, 18) (dual of [531562, 531498, 19]-code) | [i] |