Information on Result #645659
Linear OA(16123, 237, F16, 77) (dual of [237, 114, 78]-code), using construction X applied to AG(F,146P) ⊂ AG(F,153P) based on
- linear OA(16117, 224, F16, 77) (dual of [224, 107, 78]-code), using algebraic-geometric code AG(F,146P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16110, 224, F16, 70) (dual of [224, 114, 71]-code), using algebraic-geometric code AG(F,153P) [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(4246, 474, F4, 77) (dual of [474, 228, 78]-code) | [i] | Trace Code | |
| 2 | Linear OOA(16123, 118, F16, 2, 77) (dual of [(118, 2), 113, 78]-NRT-code) | [i] | OOA Folding | |