Information on Result #602862

Linear OA(75, 5, F7, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,7)), 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:

ResultThis
result
only
Method
1Linear OA(730, 35, F7, 23) (dual of [35, 5, 24]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(730, 35, F7, 23) (dual of [35, 5, 24]-code) [i]
3Linear OA(730, 35, F7, 23) (dual of [35, 5, 24]-code) [i]
4Linear OA(730, 35, F7, 23) (dual of [35, 5, 24]-code) [i]
5Linear OA(725, 30, F7, 19) (dual of [30, 5, 20]-code) [i]
6Linear OA(725, 30, F7, 19) (dual of [30, 5, 20]-code) [i]
7Linear OA(725, 30, F7, 19) (dual of [30, 5, 20]-code) [i]
8Linear OA(721, 30, F7, 14) (dual of [30, 9, 15]-code) [i]
9Linear OA(721, 30, F7, 14) (dual of [30, 9, 15]-code) [i]
10Linear OA(719, 25, F7, 14) (dual of [25, 6, 15]-code) [i]
11Linear OA(719, 25, F7, 14) (dual of [25, 6, 15]-code) [i]
12Linear OA(790, 16822, F7, 18) (dual of [16822, 16732, 19]-code) [i]
13Linear OA(790, 16822, F7, 18) (dual of [16822, 16732, 19]-code) [i]
14Linear OA(765, 16817, F7, 13) (dual of [16817, 16752, 14]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(787, 823553, F7, 13) (dual of [823553, 823466, 14]-code) [i]
16Linear OA(760, 16817, F7, 12) (dual of [16817, 16757, 13]-code) [i]
17Linear OA(780, 823553, F7, 12) (dual of [823553, 823473, 13]-code) [i]