Information on Result #1047946
Linear OOA(3130, 84, F3, 3, 53) (dual of [(84, 3), 122, 54]-NRT-code), using trace code based on linear OOA(965, 42, F9, 3, 53) (dual of [(42, 3), 61, 54]-NRT-code), using
- construction X applied to AG(3;F,63P) ⊂ AG(3;F,68P) [i] based on
- linear OOA(961, 39, F9, 3, 53) (dual of [(39, 3), 56, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(956, 39, F9, 3, 48) (dual of [(39, 3), 61, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (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
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(3131, 84, F3, 3, 53) (dual of [(84, 3), 121, 54]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3130, 42, F3, 5, 53) (dual of [(42, 5), 80, 54]-NRT-code) | [i] | OOA Folding | |