Information on Result #1316032
Linear OA(8112, 254, F81, 7) (dual of [254, 242, 8]-code), using 71 step Varšamov–Edel lengthening with (ri) = (1, 70 times 0) based on linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code), using
- (u, u+v)-construction [i] 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
- 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
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 | Linear OOA(8112, 254, F81, 2, 7) (dual of [(254, 2), 496, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8112, 254, F81, 3, 7) (dual of [(254, 3), 750, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(8112, 254, F81, 4, 7) (dual of [(254, 4), 1004, 8]-NRT-code) | [i] | ||
| 4 | Digital (5, 12, 254)-net over F81 | [i] | ||