Information on Result #646048
Linear OA(2560, 125, F25, 50) (dual of [125, 65, 51]-code), using algebraic-geometric code AG(F,74P) 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(2563, 128, F25, 52) (dual of [128, 65, 53]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(2561, 128, F25, 50) (dual of [128, 67, 51]-code) | [i] | ✔ | |
| 3 | Linear OA(2565, 130, F25, 53) (dual of [130, 65, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(2562, 130, F25, 50) (dual of [130, 68, 51]-code) | [i] | ✔ | |
| 5 | Linear OA(2567, 132, F25, 54) (dual of [132, 65, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(2563, 132, F25, 50) (dual of [132, 69, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(2569, 134, F25, 55) (dual of [134, 65, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(2564, 134, F25, 50) (dual of [134, 70, 51]-code) | [i] | ✔ | |
| 9 | Linear OA(2571, 136, F25, 56) (dual of [136, 65, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(2565, 136, F25, 50) (dual of [136, 71, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(2573, 138, F25, 57) (dual of [138, 65, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(2566, 138, F25, 50) (dual of [138, 72, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(2575, 140, F25, 58) (dual of [140, 65, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(2567, 140, F25, 50) (dual of [140, 73, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(2577, 142, F25, 59) (dual of [142, 65, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(2568, 142, F25, 50) (dual of [142, 74, 51]-code) | [i] | ✔ | |