Information on Result #605058

Linear OA(79, 10, F7, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,7)), using dual of repetition code with length 10

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(755, 353, F7, 18) (dual of [353, 298, 19]-code) [i](u, u+v)-Construction
2Linear OA(785, 16817, F7, 18) (dual of [16817, 16732, 19]-code) [i]
3Linear OA(7100, 117659, F7, 18) (dual of [117659, 117559, 19]-code) [i]
4Linear OA(737, 60, F7, 19) (dual of [60, 23, 20]-code) [i]Generalized (u, u+v)-Construction
5Linear OA(796, 16826, F7, 19) (dual of [16826, 16730, 20]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(738, 60, F7, 19) (dual of [60, 22, 20]-code) [i]Construction X with Cyclic Codes
7Linear OA(758, 354, F7, 19) (dual of [354, 296, 20]-code) [i]
8Linear OA(774, 2412, F7, 19) (dual of [2412, 2338, 20]-code) [i]
9Linear OA(790, 16818, F7, 19) (dual of [16818, 16728, 20]-code) [i]
10Linear OA(7106, 117660, F7, 19) (dual of [117660, 117554, 20]-code) [i]
11Linear OA(764, 354, F7, 21) (dual of [354, 290, 22]-code) [i]
12Linear OA(751, 823552, F7, 9) (dual of [823552, 823501, 10]-code) [i]Construction X4 with Cyclic Codes
13Linear OA(750, 5764811, F7, 8) (dual of [5764811, 5764761, 9]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes