Information on Result #670465
Linear OA(8122, 182, F81, 14) (dual of [182, 160, 15]-code), using (u, u+v)-construction based on
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(8115, 100, F81, 14) (dual of [100, 85, 15]-code), using
- extended algebraic-geometric code AGe(F,85P) [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(8179, 6744, F81, 29) (dual of [6744, 6665, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8177, 6743, F81, 28) (dual of [6743, 6666, 29]-code) | [i] | ||
| 3 | Linear OA(8179, 6745, F81, 29) (dual of [6745, 6666, 30]-code) | [i] | ||
| 4 | Linear OA(8177, 6745, F81, 28) (dual of [6745, 6668, 29]-code) | [i] | ||
| 5 | Linear OOA(8122, 91, F81, 2, 14) (dual of [(91, 2), 160, 15]-NRT-code) | [i] | OOA Folding | |