Information on Result #1047952
Linear OOA(3136, 160, F3, 3, 42) (dual of [(160, 3), 344, 43]-NRT-code), using trace code based on linear OOA(968, 80, F9, 3, 42) (dual of [(80, 3), 172, 43]-NRT-code), using
- construction X applied to AG(3;F,188P) ⊂ AG(3;F,193P) [i] based on
- linear OOA(964, 77, F9, 3, 42) (dual of [(77, 3), 167, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [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(959, 77, F9, 3, 37) (dual of [(77, 3), 172, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,193P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(94, 3, F9, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;23,9) [i]
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- linear OOA(964, 77, F9, 3, 42) (dual of [(77, 3), 167, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, 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(3137, 160, F3, 3, 42) (dual of [(160, 3), 343, 43]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3136, 80, F3, 5, 42) (dual of [(80, 5), 264, 43]-NRT-code) | [i] | OOA Folding | |