Information on Result #1032247
Linear OOA(458, 37, F4, 3, 36) (dual of [(37, 3), 53, 37]-NRT-code), using construction X applied to AG(3;F,59P) ⊂ AG(3;F,67P) based on
- linear OOA(451, 32, F4, 3, 36) (dual of [(32, 3), 45, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,59P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(443, 32, F4, 3, 28) (dual of [(32, 3), 53, 29]-NRT-code), using algebraic-geometric NRT-code AG(3;F,67P) [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(458, 37, F4, 3, 35) (dual of [(37, 3), 53, 36]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2116, 74, F2, 3, 36) (dual of [(74, 3), 106, 37]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(4214, 167, F4, 3, 72) (dual of [(167, 3), 287, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4216, 167, F4, 3, 73) (dual of [(167, 3), 285, 74]-NRT-code) | [i] | ||