Information on Result #1295255
Linear OA(8162, 248, F81, 51) (dual of [248, 186, 52]-code), using construction X applied to AG(F,191P) ⊂ AG(F,194P) based on
- linear OA(8160, 243, F81, 51) (dual of [243, 183, 52]-code), using algebraic-geometric code AG(F,191P) [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
- linear OA(8157, 243, F81, 48) (dual of [243, 186, 49]-code), using algebraic-geometric code AG(F,194P) [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
Mode: 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 | OA(2783, 248, S27, 51) | [i] | Discarding Parts of the Base for OAs | |