Information on Result #1045610
Linear OOA(9137, 96, F9, 3, 86) (dual of [(96, 3), 151, 87]-NRT-code), using construction X applied to AG(3;F,144P) ⊂ AG(3;F,172P) based on
- linear OOA(9108, 77, F9, 3, 86) (dual of [(77, 3), 123, 87]-NRT-code), using algebraic-geometric NRT-code AG(3;F,144P) [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(980, 77, F9, 3, 58) (dual of [(77, 3), 151, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [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(9137, 96, F9, 3, 85) (dual of [(96, 3), 151, 86]-NRT-code) | [i] | Strength Reduction for OOAs | |