Information on Result #1568466
Linear OOA(25632, 578, F256, 3, 20) (dual of [(578, 3), 1702, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 289, F256, 3, 10) (dual of [(289, 3), 856, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,856P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- linear OOA(25621, 289, F256, 3, 20) (dual of [(289, 3), 846, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,846P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289 (see above)
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(25632, 578, F256, 4, 20) (dual of [(578, 4), 2280, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25632, 578, F256, 5, 20) (dual of [(578, 5), 2858, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25632, 578, F256, 6, 20) (dual of [(578, 6), 3436, 21]-NRT-code) | [i] | ||
| 4 | Digital (12, 32, 578)-net over F256 | [i] | ||