Information on Result #605060

Linear OA(711, 12, F7, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,7)), using dual of repetition code with length 12

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(769, 355, F7, 23) (dual of [355, 286, 24]-code) [i](u, u+v)-Construction
2Linear OA(788, 2413, F7, 23) (dual of [2413, 2325, 24]-code) [i]
3Linear OA(7107, 16819, F7, 23) (dual of [16819, 16712, 24]-code) [i]
4Linear OA(766, 355, F7, 22) (dual of [355, 289, 23]-code) [i]
5Linear OA(784, 2413, F7, 22) (dual of [2413, 2329, 23]-code) [i]
6Linear OA(7102, 16819, F7, 22) (dual of [16819, 16717, 23]-code) [i]
7Linear OA(752, 16820, F7, 11) (dual of [16820, 16768, 12]-code) [i]Construction X4 with Cyclic Codes
8Linear OA(732, 16820, F7, 7) (dual of [16820, 16788, 8]-code) [i]
9Linear OA(747, 16819, F7, 11) (dual of [16819, 16772, 12]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(742, 16819, F7, 10) (dual of [16819, 16777, 11]-code) [i]
11Linear OA(727, 16819, F7, 6) (dual of [16819, 16792, 7]-code) [i]
12Linear OA(717, 16819, F7, 4) (dual of [16819, 16802, 5]-code) [i]