Information on Result #1568501
Linear OOA(25650, 642, F256, 3, 31) (dual of [(642, 3), 1876, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25617, 321, F256, 3, 15) (dual of [(321, 3), 946, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,947P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25633, 321, F256, 3, 31) (dual of [(321, 3), 930, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,931P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (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(25650, 642, F256, 4, 31) (dual of [(642, 4), 2518, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25650, 642, F256, 5, 31) (dual of [(642, 5), 3160, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(25650, 642, F256, 6, 31) (dual of [(642, 6), 3802, 32]-NRT-code) | [i] | ||
| 4 | Digital (19, 50, 642)-net over F256 | [i] | ||