Information on Result #1316311
Linear OA(25653, 865, F256, 31) (dual of [865, 812, 32]-code), using 338 step Varšamov–Edel lengthening with (ri) = (8, 0, 0, 1, 6 times 0, 1, 13 times 0, 1, 28 times 0, 1, 55 times 0, 1, 93 times 0, 1, 134 times 0) based on linear OA(25639, 513, F256, 31) (dual of [513, 474, 32]-code), using
- extended algebraic-geometric code AGe(F,481P) [i] 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 OOA(25653, 865, F256, 2, 31) (dual of [(865, 2), 1677, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25653, 865, F256, 3, 31) (dual of [(865, 3), 2542, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(25653, 865, F256, 4, 31) (dual of [(865, 4), 3407, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(25653, 865, F256, 5, 31) (dual of [(865, 5), 4272, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(25653, 865, F256, 6, 31) (dual of [(865, 6), 5137, 32]-NRT-code) | [i] | ||
| 6 | Digital (22, 53, 865)-net over F256 | [i] | ||