Information on Result #659191
Linear OA(4242, 466, F4, 77) (dual of [466, 224, 78]-code), using trace code based on linear OA(16121, 233, F16, 77) (dual of [233, 112, 78]-code), using
- construction X applied to AG(F,146P) ⊂ AG(F,151P) [i] 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(16112, 224, F16, 72) (dual of [224, 112, 73]-code), using algebraic-geometric code AG(F,151P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(164, 9, F16, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), 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(4243, 467, F4, 77) (dual of [467, 224, 78]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4242, 233, F4, 2, 77) (dual of [(233, 2), 224, 78]-NRT-code) | [i] | OOA Folding | |