Information on Result #646032
Linear OA(2568, 125, F25, 58) (dual of [125, 57, 59]-code), using algebraic-geometric code AG(F,66P) based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
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(2571, 128, F25, 60) (dual of [128, 57, 61]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(2569, 128, F25, 58) (dual of [128, 59, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(2573, 130, F25, 61) (dual of [130, 57, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(2570, 130, F25, 58) (dual of [130, 60, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(2575, 132, F25, 62) (dual of [132, 57, 63]-code) | [i] | ✔ | |
| 6 | Linear OA(2571, 132, F25, 58) (dual of [132, 61, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(2577, 134, F25, 63) (dual of [134, 57, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(2572, 134, F25, 58) (dual of [134, 62, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(2579, 136, F25, 64) (dual of [136, 57, 65]-code) | [i] | ✔ | |
| 10 | Linear OA(2573, 136, F25, 58) (dual of [136, 63, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(2581, 138, F25, 65) (dual of [138, 57, 66]-code) | [i] | ✔ | |
| 12 | Linear OA(2574, 138, F25, 58) (dual of [138, 64, 59]-code) | [i] | ✔ | |
| 13 | Linear OA(2583, 140, F25, 66) (dual of [140, 57, 67]-code) | [i] | ✔ | |
| 14 | Linear OA(2575, 140, F25, 58) (dual of [140, 65, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(2585, 142, F25, 67) (dual of [142, 57, 68]-code) | [i] | ✔ | |
| 16 | Linear OA(2576, 142, F25, 58) (dual of [142, 66, 59]-code) | [i] | ✔ | |