Information on Result #670540
Linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code), using (u, u+v)-construction based on
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- extended Reed–Solomon code RSe(79,81) [i]
- oval in PG(2, 81) [i]
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- extended algebraic-geometric code AGe(F,92P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, 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(8140, 6744, F81, 15) (dual of [6744, 6704, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8154, 531624, F81, 15) (dual of [531624, 531570, 16]-code) | [i] | ||
| 3 | Linear OA(8138, 6743, F81, 14) (dual of [6743, 6705, 15]-code) | [i] | ||
| 4 | Linear OA(8151, 531623, F81, 14) (dual of [531623, 531572, 15]-code) | [i] | ||
| 5 | Linear OA(8140, 6745, F81, 15) (dual of [6745, 6705, 16]-code) | [i] | ||
| 6 | Linear OA(8154, 531626, F81, 15) (dual of [531626, 531572, 16]-code) | [i] | ||
| 7 | Linear OA(8138, 6745, F81, 14) (dual of [6745, 6707, 15]-code) | [i] | ||
| 8 | Linear OA(8151, 531626, F81, 14) (dual of [531626, 531575, 15]-code) | [i] | ||
| 9 | Linear OA(8112, 254, F81, 7) (dual of [254, 242, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OOA(8111, 91, F81, 2, 7) (dual of [(91, 2), 171, 8]-NRT-code) | [i] | OOA Folding | |