Information on Result #659135
Linear OA(4216, 458, F4, 66) (dual of [458, 242, 67]-code), using trace code based on linear OA(16108, 229, F16, 66) (dual of [229, 121, 67]-code), using
- construction X applied to AG(F,157P) ⊂ AG(F,160P) [i] based on
- linear OA(16106, 224, F16, 66) (dual of [224, 118, 67]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16103, 224, F16, 63) (dual of [224, 121, 64]-code), using algebraic-geometric code AG(F,160P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(162, 5, F16, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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(4217, 459, F4, 66) (dual of [459, 242, 67]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4216, 229, F4, 2, 66) (dual of [(229, 2), 242, 67]-NRT-code) | [i] | OOA Folding | |