Information on Result #1837689
OOA(8124, 582, S8, 3, 38), using trace code based on OOA(6462, 291, S64, 3, 38), using
- discarding parts of the base [i] based on linear OOA(12853, 291, F128, 3, 38) (dual of [(291, 3), 820, 39]-NRT-code), using
- construction X applied to AG(3;F,822P) ⊂ AG(3;F,829P) [i] based on
- linear OOA(12847, 287, F128, 3, 38) (dual of [(287, 3), 814, 39]-NRT-code), using algebraic-geometric NRT-code AG(3;F,822P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12840, 287, F128, 3, 31) (dual of [(287, 3), 821, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,829P) [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,822P) ⊂ AG(3;F,829P) [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(8125, 582, S8, 3, 38) | [i] | OOA Duplication | |