Information on Result #605056
Linear OA(77, 8, F7, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,7)), using dual of repetition code with length 8
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
- Codes by De Boer and Brouwer (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(7106, 16823, F7, 22) (dual of [16823, 16717, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 3 | Linear OA(771, 16823, F7, 14) (dual of [16823, 16752, 15]-code) | [i] | ||
| 4 | Linear OA(795, 823559, F7, 14) (dual of [823559, 823464, 15]-code) | [i] | ||
| 5 | Linear OA(744, 352, F7, 15) (dual of [352, 308, 16]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(756, 2410, F7, 15) (dual of [2410, 2354, 16]-code) | [i] | ||
| 7 | Linear OA(768, 16816, F7, 15) (dual of [16816, 16748, 16]-code) | [i] | ||
| 8 | Linear OA(780, 117658, F7, 15) (dual of [117658, 117578, 16]-code) | [i] | ||
| 9 | Linear OA(792, 823552, F7, 15) (dual of [823552, 823460, 16]-code) | [i] | ||
| 10 | Linear OA(7104, 5764810, F7, 15) (dual of [5764810, 5764706, 16]-code) | [i] | ||
| 11 | Linear OA(732, 58, F7, 17) (dual of [58, 26, 18]-code) | [i] | ||
| 12 | Linear OA(750, 352, F7, 17) (dual of [352, 302, 18]-code) | [i] | ||
| 13 | Linear OA(744, 58, F7, 23) (dual of [58, 14, 24]-code) | [i] | ||
| 14 | Linear OA(737, 117656, F7, 7) (dual of [117656, 117619, 8]-code) | [i] | Construction X4 with Cyclic Codes | |
| 15 | Linear OA(720, 352, F7, 7) (dual of [352, 332, 8]-code) | [i] | ||
| 16 | Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |