Information on Result #622078

Linear OA(77, 8, F7, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,7)), using code C1 for u = 2 by de Boer and Brouwer

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(7106, 16823, F7, 22) (dual of [16823, 16717, 23]-code) [i](u, u−v, u+v+w)-Construction
3Linear OA(771, 16823, F7, 14) (dual of [16823, 16752, 15]-code) [i]
4Linear OA(795, 823559, F7, 14) (dual of [823559, 823464, 15]-code) [i]
5Linear OA(744, 352, F7, 15) (dual of [352, 308, 16]-code) [i]Construction X with Cyclic Codes
6Linear OA(756, 2410, F7, 15) (dual of [2410, 2354, 16]-code) [i]
7Linear OA(768, 16816, F7, 15) (dual of [16816, 16748, 16]-code) [i]
8Linear OA(780, 117658, F7, 15) (dual of [117658, 117578, 16]-code) [i]
9Linear OA(792, 823552, F7, 15) (dual of [823552, 823460, 16]-code) [i]
10Linear OA(7104, 5764810, F7, 15) (dual of [5764810, 5764706, 16]-code) [i]
11Linear OA(732, 58, F7, 17) (dual of [58, 26, 18]-code) [i]
12Linear OA(750, 352, F7, 17) (dual of [352, 302, 18]-code) [i]
13Linear OA(744, 58, F7, 23) (dual of [58, 14, 24]-code) [i]
14Linear OA(737, 117656, F7, 7) (dual of [117656, 117619, 8]-code) [i]Construction X4 with Cyclic Codes
15Linear OA(720, 352, F7, 7) (dual of [352, 332, 8]-code) [i]
16Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
17Linear OA(78, 11, F7, 7) (dual of [11, 3, 8]-code) [i]Construction X with De Boer–Brouwer Codes