Information on Result #645792
Linear OA(2520, 68, F25, 15) (dual of [68, 48, 16]-code), using construction X applied to AG(F,49P) ⊂ AG(F,51P) based on
- 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, using
- linear OA(2517, 65, F25, 13) (dual of [65, 48, 14]-code), using algebraic-geometric code AG(F,51P) [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(540, 136, F5, 15) (dual of [136, 96, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(2578, 693, F25, 31) (dual of [693, 615, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25108, 15693, F25, 31) (dual of [15693, 15585, 32]-code) | [i] | ||
| 4 | Linear OA(2576, 693, F25, 30) (dual of [693, 617, 31]-code) | [i] | ||
| 5 | Linear OA(25105, 15693, F25, 30) (dual of [15693, 15588, 31]-code) | [i] | ||
| 6 | Linear OA(2578, 696, F25, 31) (dual of [696, 618, 32]-code) | [i] | ||
| 7 | Linear OA(2579, 699, F25, 31) (dual of [699, 620, 32]-code) | [i] | ||
| 8 | Linear OA(2580, 702, F25, 31) (dual of [702, 622, 32]-code) | [i] | ||
| 9 | Linear OA(25108, 15696, F25, 31) (dual of [15696, 15588, 32]-code) | [i] | ||
| 10 | Linear OA(25109, 15700, F25, 31) (dual of [15700, 15591, 32]-code) | [i] | ||
| 11 | Linear OA(25110, 15704, F25, 31) (dual of [15704, 15594, 32]-code) | [i] | ||
| 12 | Linear OA(2576, 696, F25, 30) (dual of [696, 620, 31]-code) | [i] | ||
| 13 | Linear OA(2577, 699, F25, 30) (dual of [699, 622, 31]-code) | [i] | ||
| 14 | Linear OA(25105, 15696, F25, 30) (dual of [15696, 15591, 31]-code) | [i] | ||
| 15 | Linear OA(25106, 15700, F25, 30) (dual of [15700, 15594, 31]-code) | [i] | ||
| 16 | Linear OA(25107, 15704, F25, 30) (dual of [15704, 15597, 31]-code) | [i] | ||
| 17 | Linear OA(25108, 15708, F25, 30) (dual of [15708, 15600, 31]-code) | [i] | ||
| 18 | Linear OOA(2520, 34, F25, 2, 15) (dual of [(34, 2), 48, 16]-NRT-code) | [i] | OOA Folding | |