Information on Result #670447
Linear OA(8123, 182, F81, 15) (dual of [182, 159, 16]-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(8116, 100, F81, 15) (dual of [100, 84, 16]-code), using
- extended algebraic-geometric code AGe(F,84P) [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(8182, 6743, F81, 30) (dual of [6743, 6661, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8182, 6745, F81, 30) (dual of [6745, 6663, 31]-code) | [i] | ||
| 3 | Linear OOA(8123, 91, F81, 2, 15) (dual of [(91, 2), 159, 16]-NRT-code) | [i] | OOA Folding | |