Information on Result #1313998
Linear OA(1689, 1089, F16, 36) (dual of [1089, 1000, 37]-code), using 62 step Varšamov–Edel lengthening with (ri) = (1, 61 times 0) based on linear OA(1688, 1026, F16, 36) (dual of [1026, 938, 37]-code), using
- trace code [i] 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]
- extended algebraic-geometric code AGe(F,476P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
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(1689, 1089, F16, 2, 36) (dual of [(1089, 2), 2089, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (53, 89, 1089)-net over F16 | [i] | ||
| 3 | Linear OOA(1689, 544, F16, 2, 36) (dual of [(544, 2), 999, 37]-NRT-code) | [i] | OOA Folding | |