Information on Result #1316321
Linear OA(25659, 663, F256, 36) (dual of [663, 604, 37]-code), using 135 step Varšamov–Edel lengthening with (ri) = (10, 0, 0, 1, 4 times 0, 1, 10 times 0, 1, 19 times 0, 1, 35 times 0, 1, 59 times 0) based on linear OA(25644, 513, F256, 36) (dual of [513, 469, 37]-code), using
- extended algebraic-geometric code AGe(F,476P) [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(25659, 663, F256, 2, 36) (dual of [(663, 2), 1267, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25659, 663, F256, 3, 36) (dual of [(663, 3), 1930, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(25659, 663, F256, 4, 36) (dual of [(663, 4), 2593, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(25659, 663, F256, 5, 36) (dual of [(663, 5), 3256, 37]-NRT-code) | [i] | ||
| 5 | Linear OOA(25659, 663, F256, 6, 36) (dual of [(663, 6), 3919, 37]-NRT-code) | [i] | ||
| 6 | Digital (23, 59, 663)-net over F256 | [i] | ||