Information on Result #1296544
Linear OA(25626, 512, F256, 18) (dual of [512, 486, 19]-code), using algebraic-geometric code AG(F,493P) based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
Mode: 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(25629, 515, F256, 20) (dual of [515, 486, 21]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(25627, 515, F256, 18) (dual of [515, 488, 19]-code) | [i] | ✔ | |
| 3 | Linear OA(25631, 517, F256, 21) (dual of [517, 486, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(25633, 519, F256, 22) (dual of [519, 486, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(25635, 521, F256, 23) (dual of [521, 486, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(25637, 523, F256, 24) (dual of [523, 486, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(25639, 525, F256, 25) (dual of [525, 486, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(25641, 527, F256, 26) (dual of [527, 486, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(25643, 529, F256, 27) (dual of [529, 486, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(25645, 531, F256, 28) (dual of [531, 486, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(25647, 533, F256, 29) (dual of [533, 486, 30]-code) | [i] | ✔ | |