Information on Result #644919
Linear OA(1639, 73, F16, 29) (dual of [73, 34, 30]-code), using construction X applied to AG(F,34P) ⊂ AG(F,39P) based on
- linear OA(1635, 64, F16, 29) (dual of [64, 29, 30]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1630, 64, F16, 24) (dual of [64, 34, 25]-code), using algebraic-geometric code AG(F,39P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (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(478, 146, F4, 29) (dual of [146, 68, 30]-code) | [i] | Trace Code | |
| 2 | Linear OOA(1639, 36, F16, 2, 29) (dual of [(36, 2), 33, 30]-NRT-code) | [i] | OOA Folding | |