Information on Result #602861
Linear OA(74, 4, F7, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,7)), 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(722, 28, F7, 15) (dual of [28, 6, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(722, 28, F7, 15) (dual of [28, 6, 16]-code) | [i] | ||
| 3 | Linear OA(722, 28, F7, 15) (dual of [28, 6, 16]-code) | [i] | ||
| 4 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 5 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 6 | Linear OA(721, 28, F7, 14) (dual of [28, 7, 15]-code) | [i] | ||
| 7 | Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code) | [i] | ||
| 8 | Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code) | [i] | ||
| 9 | Linear OA(720, 28, F7, 13) (dual of [28, 8, 14]-code) | [i] | ||
| 10 | Linear OA(753, 16815, F7, 11) (dual of [16815, 16762, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(771, 823551, F7, 11) (dual of [823551, 823480, 12]-code) | [i] | ||
| 12 | Linear OA(780, 5764809, F7, 11) (dual of [5764809, 5764729, 12]-code) | [i] | ||
| 13 | Linear OA(748, 16815, F7, 10) (dual of [16815, 16767, 11]-code) | [i] | ||
| 14 | Linear OA(764, 823551, F7, 10) (dual of [823551, 823487, 11]-code) | [i] | ||
| 15 | Linear OA(772, 5764809, F7, 10) (dual of [5764809, 5764737, 11]-code) | [i] | ||