Information on Result #646046
Linear OA(2561, 125, F25, 51) (dual of [125, 64, 52]-code), using algebraic-geometric code AG(F,73P) 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(2564, 128, F25, 53) (dual of [128, 64, 54]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(2562, 128, F25, 51) (dual of [128, 66, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(2566, 130, F25, 54) (dual of [130, 64, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(2563, 130, F25, 51) (dual of [130, 67, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(2568, 132, F25, 55) (dual of [132, 64, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(2564, 132, F25, 51) (dual of [132, 68, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(2570, 134, F25, 56) (dual of [134, 64, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(2565, 134, F25, 51) (dual of [134, 69, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(2572, 136, F25, 57) (dual of [136, 64, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(2566, 136, F25, 51) (dual of [136, 70, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(2574, 138, F25, 58) (dual of [138, 64, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(2567, 138, F25, 51) (dual of [138, 71, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(2576, 140, F25, 59) (dual of [140, 64, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(2568, 140, F25, 51) (dual of [140, 72, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(2578, 142, F25, 60) (dual of [142, 64, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(2569, 142, F25, 51) (dual of [142, 73, 52]-code) | [i] | ✔ | |