Information on Result #645798
Linear OA(2517, 68, F25, 12) (dual of [68, 51, 13]-code), using construction X applied to AG(F,52P) ⊂ AG(F,54P) based on
- linear OA(2516, 65, F25, 12) (dual of [65, 49, 13]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2514, 65, F25, 10) (dual of [65, 51, 11]-code), using algebraic-geometric code AG(F,54P) [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(534, 136, F5, 12) (dual of [136, 102, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(2565, 692, F25, 25) (dual of [692, 627, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2589, 15692, F25, 25) (dual of [15692, 15603, 26]-code) | [i] | ||
| 4 | Linear OA(2564, 693, F25, 24) (dual of [693, 629, 25]-code) | [i] | ||
| 5 | Linear OA(2587, 15693, F25, 24) (dual of [15693, 15606, 25]-code) | [i] | ||
| 6 | Linear OA(25110, 390693, F25, 24) (dual of [390693, 390583, 25]-code) | [i] | ||
| 7 | Linear OA(2566, 696, F25, 25) (dual of [696, 630, 26]-code) | [i] | ||
| 8 | Linear OA(2567, 699, F25, 25) (dual of [699, 632, 26]-code) | [i] | ||
| 9 | Linear OA(2568, 702, F25, 25) (dual of [702, 634, 26]-code) | [i] | ||
| 10 | Linear OA(2590, 15696, F25, 25) (dual of [15696, 15606, 26]-code) | [i] | ||
| 11 | Linear OA(2591, 15701, F25, 25) (dual of [15701, 15610, 26]-code) | [i] | ||
| 12 | Linear OA(2592, 15704, F25, 25) (dual of [15704, 15612, 26]-code) | [i] | ||
| 13 | Linear OA(2564, 696, F25, 24) (dual of [696, 632, 25]-code) | [i] | ||
| 14 | Linear OA(2565, 699, F25, 24) (dual of [699, 634, 25]-code) | [i] | ||
| 15 | Linear OA(2566, 702, F25, 24) (dual of [702, 636, 25]-code) | [i] | ||
| 16 | Linear OA(2587, 15696, F25, 24) (dual of [15696, 15609, 25]-code) | [i] | ||
| 17 | Linear OA(2588, 15700, F25, 24) (dual of [15700, 15612, 25]-code) | [i] | ||
| 18 | Linear OA(2589, 15704, F25, 24) (dual of [15704, 15615, 25]-code) | [i] | ||
| 19 | Linear OA(2590, 15708, F25, 24) (dual of [15708, 15618, 25]-code) | [i] | ||
| 20 | Linear OA(25110, 390697, F25, 24) (dual of [390697, 390587, 25]-code) | [i] | ||
| 21 | Linear OOA(2517, 34, F25, 2, 12) (dual of [(34, 2), 51, 13]-NRT-code) | [i] | OOA Folding | |