Information on Result #1296500
Linear OA(25648, 512, F256, 40) (dual of [512, 464, 41]-code), using algebraic-geometric code AG(F,471P) 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(25651, 515, F256, 42) (dual of [515, 464, 43]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(25649, 515, F256, 40) (dual of [515, 466, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(25653, 517, F256, 43) (dual of [517, 464, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(25650, 517, F256, 40) (dual of [517, 467, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(25655, 519, F256, 44) (dual of [519, 464, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(25651, 519, F256, 40) (dual of [519, 468, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(25657, 521, F256, 45) (dual of [521, 464, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(25652, 521, F256, 40) (dual of [521, 469, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(25659, 523, F256, 46) (dual of [523, 464, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(25653, 523, F256, 40) (dual of [523, 470, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(25661, 525, F256, 47) (dual of [525, 464, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(25654, 525, F256, 40) (dual of [525, 471, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(25663, 527, F256, 48) (dual of [527, 464, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(25655, 527, F256, 40) (dual of [527, 472, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(25665, 529, F256, 49) (dual of [529, 464, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(25656, 529, F256, 40) (dual of [529, 473, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(25667, 531, F256, 50) (dual of [531, 464, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(25657, 531, F256, 40) (dual of [531, 474, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(25658, 533, F256, 40) (dual of [533, 475, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(25659, 535, F256, 40) (dual of [535, 476, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(25660, 537, F256, 40) (dual of [537, 477, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(25661, 539, F256, 40) (dual of [539, 478, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(25662, 541, F256, 40) (dual of [541, 479, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(25663, 543, F256, 40) (dual of [543, 480, 41]-code) | [i] | ✔ | |