Information on Result #619288
Linear OA(8115, 82, F81, 15) (dual of [82, 67, 16]-code or 82-arc in PG(14,81)), using 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)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(930, 164, F9, 15) (dual of [164, 134, 16]-code) | [i] | Trace Code | |
| 2 | OA(2720, 82, S27, 15) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8176, 6644, F81, 31) (dual of [6644, 6568, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8174, 6643, F81, 30) (dual of [6643, 6569, 31]-code) | [i] | ||
| 5 | Linear OA(8176, 6645, F81, 31) (dual of [6645, 6569, 32]-code) | [i] | ||
| 6 | Linear OA(8174, 6645, F81, 30) (dual of [6645, 6571, 31]-code) | [i] | ||
| 7 | Linear OA(8121, 89, F81, 15) (dual of [89, 68, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |