Information on Result #1833755
OOA(8112, 584, S8, 2, 34), using trace code based on OOA(6456, 292, S64, 2, 34), using
- discarding parts of the base [i] based on linear OOA(12848, 292, F128, 2, 34) (dual of [(292, 2), 536, 35]-NRT-code), using
- construction X applied to AG(2;F,539P) ⊂ AG(2;F,545P) [i] based on
- linear OOA(12843, 287, F128, 2, 34) (dual of [(287, 2), 531, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,539P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12837, 287, F128, 2, 28) (dual of [(287, 2), 537, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,545P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1285, 5, F128, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;251,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- construction X applied to AG(2;F,539P) ⊂ AG(2;F,545P) [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(8114, 585, S8, 2, 34) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(8116, 586, S8, 2, 34) | [i] | ||
| 3 | OOA(8113, 584, S8, 2, 34) | [i] | OOA Duplication | |