Information on Result #1032246
Linear OOA(459, 37, F4, 3, 37) (dual of [(37, 3), 52, 38]-NRT-code), using construction X applied to AG(3;F,58P) ⊂ AG(3;F,66P) based on
- linear OOA(452, 32, F4, 3, 37) (dual of [(32, 3), 44, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(444, 32, F4, 3, 29) (dual of [(32, 3), 52, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,66P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(47, 5, F4, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;8,4) [i]
Mode: Constructive and 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(459, 37, F4, 3, 36) (dual of [(37, 3), 52, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2118, 74, F2, 3, 37) (dual of [(74, 3), 104, 38]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(4219, 167, F4, 3, 74) (dual of [(167, 3), 282, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4221, 167, F4, 3, 75) (dual of [(167, 3), 280, 76]-NRT-code) | [i] | ||