Information on Result #605057

Linear OA(78, 9, F7, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,7)), using dual of repetition code with length 9

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(748, 352, F7, 16) (dual of [352, 304, 17]-code) [i](u, u+v)-Construction
2Linear OA(761, 2410, F7, 16) (dual of [2410, 2349, 17]-code) [i]
3Linear OA(774, 16816, F7, 16) (dual of [16816, 16742, 17]-code) [i]
4Linear OA(787, 117658, F7, 16) (dual of [117658, 117571, 17]-code) [i]
5Linear OA(7100, 823552, F7, 16) (dual of [823552, 823452, 17]-code) [i]
6Linear OA(750, 60, F7, 34) (dual of [60, 10, 35]-code) [i]Generalized (u, u+v)-Construction
7Linear OA(744, 59, F7, 26) (dual of [59, 15, 27]-code) [i]
8Linear OA(784, 16825, F7, 17) (dual of [16825, 16741, 18]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(765, 2411, F7, 17) (dual of [2411, 2346, 18]-code) [i]Construction X with Cyclic Codes
10Linear OA(779, 16817, F7, 17) (dual of [16817, 16738, 18]-code) [i]
11Linear OA(793, 117659, F7, 17) (dual of [117659, 117566, 18]-code) [i]
12Linear OA(7107, 823553, F7, 17) (dual of [823553, 823446, 18]-code) [i]
13Linear OA(741, 59, F7, 21) (dual of [59, 18, 22]-code) [i]
14Linear OA(749, 59, F7, 33) (dual of [59, 10, 34]-code) [i]
15Linear OA(744, 823552, F7, 8) (dual of [823552, 823508, 9]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
16Linear OA(737, 823552, F7, 6) (dual of [823552, 823515, 7]-code) [i]
17Linear OA(723, 823552, F7, 4) (dual of [823552, 823529, 5]-code) [i]