Information on Result #1817774
OA(2720, 82, S27, 15), using discarding parts of the base based on linear OA(8115, 82, F81, 15) (dual of [82, 67, 16]-code or 82-arc in PG(14,81)), using
- extended Reed–Solomon code RSe(67,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
Mode: Constructive.
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 | OA(2721, 83, S27, 15) | [i] | Code Embedding in Larger Space | |
| 2 | OA(2778, 814, S27, 31) | [i] | (u, u+v)-Construction | |
| 3 | OA(27108, 19768, S27, 31) | [i] | ||
| 4 | OA(27109, 19772, S27, 31) | [i] | ||
| 5 | OA(27105, 19768, S27, 30) | [i] | ||
| 6 | OA(27106, 19772, S27, 30) | [i] | ||