Information on Result #646058
Linear OA(2555, 125, F25, 45) (dual of [125, 70, 46]-code), using algebraic-geometric code AG(F,79P) 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(2558, 128, F25, 47) (dual of [128, 70, 48]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(2556, 128, F25, 45) (dual of [128, 72, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(2560, 130, F25, 48) (dual of [130, 70, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(2557, 130, F25, 45) (dual of [130, 73, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(2562, 132, F25, 49) (dual of [132, 70, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(2558, 132, F25, 45) (dual of [132, 74, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(2564, 134, F25, 50) (dual of [134, 70, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(2559, 134, F25, 45) (dual of [134, 75, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(2566, 136, F25, 51) (dual of [136, 70, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(2560, 136, F25, 45) (dual of [136, 76, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(2568, 138, F25, 52) (dual of [138, 70, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(2561, 138, F25, 45) (dual of [138, 77, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(2570, 140, F25, 53) (dual of [140, 70, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(2562, 140, F25, 45) (dual of [140, 78, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(2572, 142, F25, 54) (dual of [142, 70, 55]-code) | [i] | ✔ | |
| 16 | Linear OA(2563, 142, F25, 45) (dual of [142, 79, 46]-code) | [i] | ✔ | |