Information on Result #602970
Linear OA(83, 3, F8, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,8) or 3-cap in PG(2,8)), using complete OA / dual of code with only one code word
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(872, 32780, F8, 14) (dual of [32780, 32708, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(872, 32780, F8, 14) (dual of [32780, 32708, 15]-code) | [i] | ||
| 3 | Linear OA(872, 32780, F8, 14) (dual of [32780, 32708, 15]-code) | [i] | ||
| 4 | Linear OA(896, 2097164, F8, 14) (dual of [2097164, 2097068, 15]-code) | [i] | ||
| 5 | Linear OA(896, 2097164, F8, 14) (dual of [2097164, 2097068, 15]-code) | [i] | ||
| 6 | Linear OA(896, 2097164, F8, 14) (dual of [2097164, 2097068, 15]-code) | [i] | ||
| 7 | Linear OA(854, 32777, F8, 11) (dual of [32777, 32723, 12]-code) | [i] | ||
| 8 | Linear OA(854, 32777, F8, 11) (dual of [32777, 32723, 12]-code) | [i] | ||
| 9 | Linear OA(872, 2097161, F8, 11) (dual of [2097161, 2097089, 12]-code) | [i] | ||
| 10 | Linear OA(872, 2097161, F8, 11) (dual of [2097161, 2097089, 12]-code) | [i] | ||
| 11 | Linear OA(826, 517, F8, 8) (dual of [517, 491, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(840, 32773, F8, 8) (dual of [32773, 32733, 9]-code) | [i] | ||
| 13 | Linear OA(854, 2097157, F8, 8) (dual of [2097157, 2097103, 9]-code) | [i] | ||