Information on Result #645790
Linear OA(2521, 68, F25, 16) (dual of [68, 47, 17]-code), using construction X applied to AG(F,48P) ⊂ AG(F,50P) based on
- linear OA(2520, 65, F25, 16) (dual of [65, 45, 17]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2518, 65, F25, 14) (dual of [65, 47, 15]-code), using algebraic-geometric code AG(F,50P) [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(542, 136, F5, 16) (dual of [136, 94, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(2583, 693, F25, 33) (dual of [693, 610, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2581, 693, F25, 32) (dual of [693, 612, 33]-code) | [i] | ||
| 4 | Linear OA(2583, 696, F25, 33) (dual of [696, 613, 34]-code) | [i] | ||
| 5 | Linear OA(2584, 699, F25, 33) (dual of [699, 615, 34]-code) | [i] | ||
| 6 | Linear OA(2585, 702, F25, 33) (dual of [702, 617, 34]-code) | [i] | ||
| 7 | Linear OA(2586, 705, F25, 33) (dual of [705, 619, 34]-code) | [i] | ||
| 8 | Linear OA(2581, 696, F25, 32) (dual of [696, 615, 33]-code) | [i] | ||
| 9 | Linear OA(2582, 699, F25, 32) (dual of [699, 617, 33]-code) | [i] | ||
| 10 | Linear OA(2583, 702, F25, 32) (dual of [702, 619, 33]-code) | [i] | ||
| 11 | Linear OA(2584, 705, F25, 32) (dual of [705, 621, 33]-code) | [i] | ||
| 12 | Linear OOA(2521, 34, F25, 2, 16) (dual of [(34, 2), 47, 17]-NRT-code) | [i] | OOA Folding | |