Information on Result #1042690
Linear OOA(8144, 115, F8, 3, 79) (dual of [(115, 3), 201, 80]-NRT-code), using construction X applied to AG(3;F,211P) ⊂ AG(3;F,237P) based on
- linear OOA(8116, 97, F8, 3, 79) (dual of [(97, 3), 175, 80]-NRT-code), using algebraic-geometric NRT-code AG(3;F,211P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(890, 97, F8, 3, 53) (dual of [(97, 3), 201, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,237P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(828, 18, F8, 3, 25) (dual of [(18, 3), 26, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(828, 24, F8, 3, 25) (dual of [(24, 3), 44, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,46P) [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,46P) [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(828, 24, F8, 3, 25) (dual of [(24, 3), 44, 26]-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(8144, 115, F8, 3, 78) (dual of [(115, 3), 201, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |