Information on Result #1314098
Linear OA(1699, 1042, F16, 41) (dual of [1042, 943, 42]-code), using 15 step Varšamov–Edel lengthening with (ri) = (1, 14 times 0) based on linear OA(1698, 1026, F16, 41) (dual of [1026, 928, 42]-code), using
- trace code [i] based on linear OA(25649, 513, F256, 41) (dual of [513, 464, 42]-code), using
- extended algebraic-geometric code AGe(F,471P) [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,471P) [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(1699, 1042, F16, 2, 41) (dual of [(1042, 2), 1985, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (58, 99, 1042)-net over F16 | [i] | ||