Information on Result #1568521
Linear OOA(25658, 642, F256, 3, 36) (dual of [(642, 3), 1868, 37]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25620, 321, F256, 3, 18) (dual of [(321, 3), 943, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,944P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25638, 321, F256, 3, 36) (dual of [(321, 3), 925, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,926P) [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(25658, 642, F256, 4, 36) (dual of [(642, 4), 2510, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25658, 642, F256, 5, 36) (dual of [(642, 5), 3152, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(25658, 642, F256, 6, 36) (dual of [(642, 6), 3794, 37]-NRT-code) | [i] | ||
| 4 | Digital (22, 58, 642)-net over F256 | [i] | ||