Information on Result #645780
Linear OA(2526, 68, F25, 21) (dual of [68, 42, 22]-code), using construction X applied to AG(F,43P) ⊂ AG(F,45P) based on
- linear OA(2525, 65, F25, 21) (dual of [65, 40, 22]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2523, 65, F25, 19) (dual of [65, 42, 20]-code), using algebraic-geometric code AG(F,45P) [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(552, 136, F5, 21) (dual of [136, 84, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(25108, 693, F25, 43) (dual of [693, 585, 44]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25106, 693, F25, 42) (dual of [693, 587, 43]-code) | [i] | ||
| 4 | Linear OA(25108, 696, F25, 43) (dual of [696, 588, 44]-code) | [i] | ||
| 5 | Linear OA(25109, 699, F25, 43) (dual of [699, 590, 44]-code) | [i] | ||
| 6 | Linear OA(25110, 702, F25, 43) (dual of [702, 592, 44]-code) | [i] | ||
| 7 | Linear OA(25106, 696, F25, 42) (dual of [696, 590, 43]-code) | [i] | ||
| 8 | Linear OA(25107, 699, F25, 42) (dual of [699, 592, 43]-code) | [i] | ||
| 9 | Linear OA(25108, 702, F25, 42) (dual of [702, 594, 43]-code) | [i] | ||
| 10 | Linear OA(25109, 705, F25, 42) (dual of [705, 596, 43]-code) | [i] | ||
| 11 | Linear OOA(2526, 34, F25, 2, 21) (dual of [(34, 2), 42, 22]-NRT-code) | [i] | OOA Folding | |