Information on Result #645804
Linear OA(2514, 68, F25, 9) (dual of [68, 54, 10]-code), using construction X applied to AG(F,55P) ⊂ AG(F,57P) based on
- linear OA(2513, 65, F25, 9) (dual of [65, 52, 10]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2511, 65, F25, 7) (dual of [65, 54, 8]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 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(528, 136, F5, 9) (dual of [136, 108, 10]-code) | [i] | Trace Code | |
| 2 | Linear OA(2551, 694, F25, 19) (dual of [694, 643, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2569, 15694, F25, 19) (dual of [15694, 15625, 20]-code) | [i] | ||
| 4 | Linear OA(2587, 390694, F25, 19) (dual of [390694, 390607, 20]-code) | [i] | ||
| 5 | Linear OA(2549, 693, F25, 18) (dual of [693, 644, 19]-code) | [i] | ||
| 6 | Linear OA(2566, 15693, F25, 18) (dual of [15693, 15627, 19]-code) | [i] | ||
| 7 | Linear OA(2583, 390693, F25, 18) (dual of [390693, 390610, 19]-code) | [i] | ||
| 8 | Linear OA(2551, 696, F25, 19) (dual of [696, 645, 20]-code) | [i] | ||
| 9 | Linear OA(2569, 15696, F25, 19) (dual of [15696, 15627, 20]-code) | [i] | ||
| 10 | Linear OA(2587, 390697, F25, 19) (dual of [390697, 390610, 20]-code) | [i] | ||
| 11 | Linear OA(2549, 696, F25, 18) (dual of [696, 647, 19]-code) | [i] | ||
| 12 | Linear OA(2566, 15696, F25, 18) (dual of [15696, 15630, 19]-code) | [i] | ||
| 13 | Linear OA(2583, 390697, F25, 18) (dual of [390697, 390614, 19]-code) | [i] | ||
| 14 | Linear OOA(2514, 34, F25, 2, 9) (dual of [(34, 2), 54, 10]-NRT-code) | [i] | OOA Folding | |