Information on Result #1837729
OOA(8162, 580, S8, 3, 56), using trace code based on OOA(6481, 290, S64, 3, 56), using
- discarding parts of the base [i] based on linear OOA(12869, 290, F128, 3, 56) (dual of [(290, 3), 801, 57]-NRT-code), using
- construction X applied to AG(3;F,804P) ⊂ AG(3;F,809P) [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(12860, 287, F128, 3, 51) (dual of [(287, 3), 801, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,809P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1284, 3, F128, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 3, 4) (dual of [(128, 3), 380, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;380,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 3, 4) (dual of [(128, 3), 380, 5]-NRT-code), using
- construction X applied to AG(3;F,804P) ⊂ AG(3;F,809P) [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(8162, 580, S8, 3, 55) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(8165, 581, S8, 3, 56) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(8163, 580, S8, 3, 56) | [i] | OOA Duplication | |