Information on Result #644965
Linear OA(1639, 75, F16, 28) (dual of [75, 36, 29]-code), using construction X applied to AG(F,35P) ⊂ AG(F,41P) based on
- linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) [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(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(165, 11, F16, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), 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, 150, F4, 28) (dual of [150, 72, 29]-code) | [i] | Trace Code | |
| 2 | Linear OOA(1639, 37, F16, 2, 28) (dual of [(37, 2), 35, 29]-NRT-code) | [i] | OOA Folding | |