Information on Result #647654
Linear OA(25110, 300, F25, 63) (dual of [300, 190, 64]-code), using construction X applied to AG(F,223P) ⊂ AG(F,230P) based on
- linear OA(25104, 287, F25, 63) (dual of [287, 183, 64]-code), using algebraic-geometric code AG(F,223P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OA(2597, 287, F25, 56) (dual of [287, 190, 57]-code), using algebraic-geometric code AG(F,230P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (see above)
- linear OA(256, 13, F25, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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 OOA(25110, 150, F25, 2, 63) (dual of [(150, 2), 190, 64]-NRT-code) | [i] | OOA Folding | |