Information on Result #645656
Linear OA(16126, 237, F16, 80) (dual of [237, 111, 81]-code), using construction X applied to AG(F,143P) ⊂ AG(F,150P) based on
- linear OA(16120, 224, F16, 80) (dual of [224, 104, 81]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16113, 224, F16, 73) (dual of [224, 111, 74]-code), using algebraic-geometric code AG(F,150P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(166, 13, F16, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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(4252, 474, F4, 80) (dual of [474, 222, 81]-code) | [i] | Trace Code | |
| 2 | Linear OOA(16126, 118, F16, 2, 80) (dual of [(118, 2), 110, 81]-NRT-code) | [i] | OOA Folding | |