Information on Result #1316318
Linear OA(25659, 1069, F256, 34) (dual of [1069, 1010, 35]-code), using 43 step Varšamov–Edel lengthening with (ri) = (1, 42 times 0) based on linear OA(25658, 1025, F256, 34) (dual of [1025, 967, 35]-code), using
- extended algebraic-geometric code AGe(F,990P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 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, 1069, F256, 2, 34) (dual of [(1069, 2), 2079, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25659, 1069, F256, 3, 34) (dual of [(1069, 3), 3148, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(25659, 1069, F256, 4, 34) (dual of [(1069, 4), 4217, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(25659, 1069, F256, 5, 34) (dual of [(1069, 5), 5286, 35]-NRT-code) | [i] | ||
| 5 | Linear OOA(25659, 1069, F256, 6, 34) (dual of [(1069, 6), 6355, 35]-NRT-code) | [i] | ||
| 6 | Digital (25, 59, 1069)-net over F256 | [i] | ||
| 7 | Linear OOA(25659, 534, F256, 2, 34) (dual of [(534, 2), 1009, 35]-NRT-code) | [i] | OOA Folding | |