Information on Result #602865

Linear OA(78, 8, F7, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,7)), 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(747, 56, F7, 34) (dual of [56, 9, 35]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(747, 56, F7, 34) (dual of [56, 9, 35]-code) [i]
3Linear OA(747, 56, F7, 34) (dual of [56, 9, 35]-code) [i]
4Linear OA(747, 56, F7, 34) (dual of [56, 9, 35]-code) [i]
5Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) [i]
6Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) [i]
7Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) [i]
8Linear OA(742, 56, F7, 27) (dual of [56, 14, 28]-code) [i]
9Linear OA(742, 56, F7, 27) (dual of [56, 14, 28]-code) [i]
10Linear OA(742, 56, F7, 27) (dual of [56, 14, 28]-code) [i]
11Linear OA(734, 56, F7, 19) (dual of [56, 22, 20]-code) [i]
12Linear OA(734, 56, F7, 19) (dual of [56, 22, 20]-code) [i]
13Linear OA(7106, 16823, F7, 22) (dual of [16823, 16717, 23]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(7100, 16823, F7, 20) (dual of [16823, 16723, 21]-code) [i]
15Linear OA(795, 16824, F7, 19) (dual of [16824, 16729, 20]-code) [i]
16Linear OA(790, 16823, F7, 18) (dual of [16823, 16733, 19]-code) [i]