Information on Result #659177
Linear OA(4238, 470, F4, 74) (dual of [470, 232, 75]-code), using trace code based on linear OA(16119, 235, F16, 74) (dual of [235, 116, 75]-code), using
- construction X applied to AG(F,149P) ⊂ AG(F,155P) [i] based on
- linear OA(16114, 224, F16, 74) (dual of [224, 110, 75]-code), using algebraic-geometric code AG(F,149P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16108, 224, F16, 68) (dual of [224, 116, 69]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(165, 11, F16, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
Mode: Constructive and linear.
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 | Linear OA(4239, 471, F4, 74) (dual of [471, 232, 75]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4238, 235, F4, 2, 74) (dual of [(235, 2), 232, 75]-NRT-code) | [i] | OOA Folding | |