Information on Result #1045178
Linear OOA(9102, 87, F9, 3, 65) (dual of [(87, 3), 159, 66]-NRT-code), using construction X applied to AG(3;F,165P) ⊂ AG(3;F,181P) based on
- linear OOA(987, 77, F9, 3, 65) (dual of [(77, 3), 144, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,165P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(971, 77, F9, 3, 49) (dual of [(77, 3), 160, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,181P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(915, 10, F9, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,9) [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(3204, 174, F3, 3, 65) (dual of [(174, 3), 318, 66]-NRT-code) | [i] | Trace Code for OOAs | |