Information on Result #1837732
OOA(8166, 582, S8, 3, 56), using trace code based on OOA(6483, 291, S64, 3, 56), using
- discarding parts of the base [i] based on linear OOA(12871, 291, F128, 3, 56) (dual of [(291, 3), 802, 57]-NRT-code), using
- construction X applied to AG(3;F,804P) ⊂ AG(3;F,811P) [i] based on
- linear OOA(12865, 287, F128, 3, 56) (dual of [(287, 3), 796, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,804P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12858, 287, F128, 3, 49) (dual of [(287, 3), 803, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,811P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1286, 4, F128, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;378,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-NRT-code), using
- construction X applied to AG(3;F,804P) ⊂ AG(3;F,811P) [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(8167, 582, S8, 3, 56) | [i] | OOA Duplication | |