Information on Result #645788
Linear OA(2522, 68, F25, 17) (dual of [68, 46, 18]-code), using construction X applied to AG(F,47P) ⊂ AG(F,49P) based on
- linear OA(2521, 65, F25, 17) (dual of [65, 44, 18]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2519, 65, F25, 15) (dual of [65, 46, 16]-code), using algebraic-geometric code AG(F,49P) [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(544, 136, F5, 17) (dual of [136, 92, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(2588, 693, F25, 35) (dual of [693, 605, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2586, 693, F25, 34) (dual of [693, 607, 35]-code) | [i] | ||
| 4 | Linear OA(2588, 696, F25, 35) (dual of [696, 608, 36]-code) | [i] | ||
| 5 | Linear OA(2589, 699, F25, 35) (dual of [699, 610, 36]-code) | [i] | ||
| 6 | Linear OA(2590, 702, F25, 35) (dual of [702, 612, 36]-code) | [i] | ||
| 7 | Linear OA(2591, 705, F25, 35) (dual of [705, 614, 36]-code) | [i] | ||
| 8 | Linear OA(2586, 696, F25, 34) (dual of [696, 610, 35]-code) | [i] | ||
| 9 | Linear OA(2587, 699, F25, 34) (dual of [699, 612, 35]-code) | [i] | ||
| 10 | Linear OA(2588, 702, F25, 34) (dual of [702, 614, 35]-code) | [i] | ||
| 11 | Linear OA(2589, 705, F25, 34) (dual of [705, 616, 35]-code) | [i] | ||
| 12 | Linear OOA(2522, 34, F25, 2, 17) (dual of [(34, 2), 46, 18]-NRT-code) | [i] | OOA Folding | |