Information on Result #1837698
OOA(8134, 584, S8, 3, 41), using trace code based on OOA(6467, 292, S64, 3, 41), using
- discarding parts of the base [i] based on linear OOA(12857, 292, F128, 3, 41) (dual of [(292, 3), 819, 42]-NRT-code), using
- construction X applied to AG(3;F,819P) ⊂ AG(3;F,827P) [i] based on
- linear OOA(12850, 287, F128, 3, 41) (dual of [(287, 3), 811, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,819P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12842, 287, F128, 3, 33) (dual of [(287, 3), 819, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,827P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1287, 5, F128, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;377,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
- construction X applied to AG(3;F,819P) ⊂ AG(3;F,827P) [i] based on
Mode: Constructive.
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 | OOA(8134, 584, S8, 3, 40) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(8137, 585, S8, 3, 41) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(8135, 584, S8, 3, 41) | [i] | OOA Duplication | |