Information on Result #1042725
Linear OOA(8169, 117, F8, 3, 101) (dual of [(117, 3), 182, 102]-NRT-code), using construction X applied to AG(3;F,189P) ⊂ AG(3;F,218P) based on
- linear OOA(8138, 97, F8, 3, 101) (dual of [(97, 3), 153, 102]-NRT-code), using algebraic-geometric NRT-code AG(3;F,189P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8109, 97, F8, 3, 72) (dual of [(97, 3), 182, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,218P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(831, 20, F8, 3, 28) (dual of [(20, 3), 29, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(831, 24, F8, 3, 28) (dual of [(24, 3), 41, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(831, 24, F8, 3, 28) (dual of [(24, 3), 41, 29]-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(8169, 117, F8, 3, 100) (dual of [(117, 3), 182, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |