Information on Result #654789
Linear OA(8115, 118, F81, 12) (dual of [118, 103, 13]-code), using construction X applied to AG(F,102P) ⊂ AG(F,104P) based on
- linear OA(8114, 115, F81, 12) (dual of [115, 101, 13]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8112, 115, F81, 10) (dual of [115, 103, 11]-code), using algebraic-geometric code AG(F,104P) [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 | OA(2720, 118, S27, 12) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(8164, 6680, F81, 25) (dual of [6680, 6616, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8162, 6679, F81, 24) (dual of [6679, 6617, 25]-code) | [i] | ||
| 4 | Linear OA(8164, 6681, F81, 25) (dual of [6681, 6617, 26]-code) | [i] | ||
| 5 | Linear OA(8162, 6681, F81, 24) (dual of [6681, 6619, 25]-code) | [i] | ||