Information on Result #1817751
OA(2712, 82, S27, 9), using discarding parts of the base based on linear OA(819, 82, F81, 9) (dual of [82, 73, 10]-code or 82-arc in PG(8,81)), using
- extended Reed–Solomon code RSe(73,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(2713, 83, S27, 9) | [i] | Code Embedding in Larger Space | |
| 2 | OA(2767, 19768, S27, 19) | [i] | (u, u+v)-Construction | |
| 3 | OA(2768, 19773, S27, 19) | [i] | ||
| 4 | OA(2785, 531527, S27, 19) | [i] | ||
| 5 | OA(2786, 531533, S27, 19) | [i] | ||
| 6 | OA(2764, 19768, S27, 18) | [i] | ||
| 7 | OA(2765, 19772, S27, 18) | [i] | ||
| 8 | OA(2781, 531527, S27, 18) | [i] | ||
| 9 | OA(2782, 531532, S27, 18) | [i] | ||