Information on Result #1045621
Linear OOA(9126, 96, F9, 3, 75) (dual of [(96, 3), 162, 76]-NRT-code), using construction X applied to AG(3;F,155P) ⊂ AG(3;F,183P) based on
- linear OOA(997, 77, F9, 3, 75) (dual of [(77, 3), 134, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,155P) [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(969, 77, F9, 3, 47) (dual of [(77, 3), 162, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,183P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(929, 19, F9, 3, 27) (dual of [(19, 3), 28, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(929, 20, F9, 3, 27) (dual of [(20, 3), 31, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(929, 20, F9, 3, 27) (dual of [(20, 3), 31, 28]-NRT-code), using
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(9126, 96, F9, 3, 74) (dual of [(96, 3), 162, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |