Information on Result #602860
Linear OA(73, 3, F7, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,7) or 3-cap in PG(2,7)), 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(714, 18, F7, 11) (dual of [18, 4, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(714, 18, F7, 11) (dual of [18, 4, 12]-code) | [i] | ||
| 3 | Linear OA(714, 18, F7, 11) (dual of [18, 4, 12]-code) | [i] | ||
| 4 | Linear OA(754, 16816, F7, 11) (dual of [16816, 16762, 12]-code) | [i] | ||
| 5 | Linear OA(754, 16816, F7, 11) (dual of [16816, 16762, 12]-code) | [i] | ||
| 6 | Linear OA(772, 823552, F7, 11) (dual of [823552, 823480, 12]-code) | [i] | ||
| 7 | Linear OA(772, 823552, F7, 11) (dual of [823552, 823480, 12]-code) | [i] | ||
| 8 | Linear OA(781, 5764810, F7, 11) (dual of [5764810, 5764729, 12]-code) | [i] | ||
| 9 | Linear OA(781, 5764810, F7, 11) (dual of [5764810, 5764729, 12]-code) | [i] | ||
| 10 | Linear OA(736, 16813, F7, 8) (dual of [16813, 16777, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(742, 117655, F7, 8) (dual of [117655, 117613, 9]-code) | [i] | ||
| 12 | Linear OA(748, 823549, F7, 8) (dual of [823549, 823501, 9]-code) | [i] | ||
| 13 | Linear OA(754, 5764807, F7, 8) (dual of [5764807, 5764753, 9]-code) | [i] | ||