Information on Result #1045535
Linear OOA(9138, 94, F9, 3, 90) (dual of [(94, 3), 144, 91]-NRT-code), using construction X applied to AG(3;F,140P) ⊂ AG(3;F,165P) based on
- linear OOA(9112, 77, F9, 3, 90) (dual of [(77, 3), 119, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,140P) [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(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 (see above)
- linear OOA(926, 17, F9, 3, 24) (dual of [(17, 3), 25, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(926, 20, F9, 3, 24) (dual of [(20, 3), 34, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,35P) [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(926, 20, F9, 3, 24) (dual of [(20, 3), 34, 25]-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(9138, 94, F9, 3, 89) (dual of [(94, 3), 144, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |