Information on Result #648918
Linear OA(2732, 100, F27, 19) (dual of [100, 68, 20]-code), using construction X applied to AG(F,73P) ⊂ AG(F,77P) based on
- linear OA(2729, 93, F27, 19) (dual of [93, 64, 20]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2725, 93, F27, 15) (dual of [93, 68, 16]-code), using algebraic-geometric code AG(F,77P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(273, 7, F27, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,27) or 7-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), 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(27106, 829, F27, 39) (dual of [829, 723, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27104, 829, F27, 38) (dual of [829, 725, 39]-code) | [i] | ||
| 3 | Linear OA(27106, 832, F27, 39) (dual of [832, 726, 40]-code) | [i] | ||
| 4 | Linear OA(27104, 832, F27, 38) (dual of [832, 728, 39]-code) | [i] | ||
| 5 | Linear OOA(2732, 50, F27, 2, 19) (dual of [(50, 2), 68, 20]-NRT-code) | [i] | OOA Folding | |