Information on Result #1820305
OA(6483, 298, S64, 57), using discarding parts of the base based on linear OA(12871, 298, F128, 57) (dual of [298, 227, 58]-code), using
- construction X applied to AG(F,229P) ⊂ AG(F,235P) [i] based on
- linear OA(12866, 287, F128, 57) (dual of [287, 221, 58]-code), using algebraic-geometric code AG(F,229P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12860, 287, F128, 51) (dual of [287, 227, 52]-code), using algebraic-geometric code AG(F,235P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1285, 11, F128, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
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 | OA(8166, 596, S8, 57) | [i] | Trace Code | |