Information on Result #606855
Linear OA(274, 28, F27, 4) (dual of [28, 24, 5]-code or 28-arc in PG(3,27)), using extended Reed–Solomon code RSe(24,27)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2721, 758, F27, 9) (dual of [758, 737, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2729, 19712, F27, 9) (dual of [19712, 19683, 10]-code) | [i] | ||
| 3 | Linear OA(2737, 531470, F27, 9) (dual of [531470, 531433, 10]-code) | [i] | ||
| 4 | Linear OA(2719, 757, F27, 8) (dual of [757, 738, 9]-code) | [i] | ||
| 5 | Linear OA(2726, 19711, F27, 8) (dual of [19711, 19685, 9]-code) | [i] | ||
| 6 | Linear OA(2733, 531469, F27, 8) (dual of [531469, 531436, 9]-code) | [i] | ||
| 7 | Linear OA(2721, 760, F27, 9) (dual of [760, 739, 10]-code) | [i] | ||
| 8 | Linear OA(2729, 19714, F27, 9) (dual of [19714, 19685, 10]-code) | [i] | ||
| 9 | Linear OA(2737, 531473, F27, 9) (dual of [531473, 531436, 10]-code) | [i] | ||
| 10 | Linear OA(2719, 760, F27, 8) (dual of [760, 741, 9]-code) | [i] | ||
| 11 | Linear OA(2726, 19714, F27, 8) (dual of [19714, 19688, 9]-code) | [i] | ||
| 12 | Linear OA(2733, 531473, F27, 8) (dual of [531473, 531440, 9]-code) | [i] | ||
| 13 | Linear OA(2723, 756, F27, 9) (dual of [756, 733, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(2720, 756, F27, 8) (dual of [756, 736, 9]-code) | [i] | ||
| 15 | Linear OA(278, 756, F27, 4) (dual of [756, 748, 5]-code) | [i] | ||
| 16 | Linear OA(2738, 785, F27, 14) (dual of [785, 747, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2751, 19739, F27, 14) (dual of [19739, 19688, 15]-code) | [i] | ||
| 18 | Linear OA(2752, 19749, F27, 14) (dual of [19749, 19697, 15]-code) | [i] | ||
| 19 | Linear OA(2764, 531497, F27, 14) (dual of [531497, 531433, 15]-code) | [i] | ||
| 20 | Linear OA(2765, 531507, F27, 14) (dual of [531507, 531442, 15]-code) | [i] | ||
| 21 | Linear OA(2735, 786, F27, 13) (dual of [786, 751, 14]-code) | [i] | ||
| 22 | Linear OA(2747, 19740, F27, 13) (dual of [19740, 19693, 14]-code) | [i] | ||
| 23 | Linear OA(2748, 19750, F27, 13) (dual of [19750, 19702, 14]-code) | [i] | ||
| 24 | Linear OA(2759, 531498, F27, 13) (dual of [531498, 531439, 14]-code) | [i] | ||
| 25 | Linear OA(2760, 531508, F27, 13) (dual of [531508, 531448, 14]-code) | [i] | ||
| 26 | Linear OA(2744, 19739, F27, 12) (dual of [19739, 19695, 13]-code) | [i] | ||
| 27 | Linear OA(2755, 531497, F27, 12) (dual of [531497, 531442, 13]-code) | [i] | ||
| 28 | Linear OA(2732, 19740, F27, 9) (dual of [19740, 19708, 10]-code) | [i] | ||
| 29 | Linear OA(2740, 531498, F27, 9) (dual of [531498, 531458, 10]-code) | [i] | ||
| 30 | Linear OA(2728, 19739, F27, 8) (dual of [19739, 19711, 9]-code) | [i] | ||
| 31 | Linear OA(2735, 531497, F27, 8) (dual of [531497, 531462, 9]-code) | [i] | ||
| 32 | Linear OA(27109, 531470, F27, 26) (dual of [531470, 531361, 27]-code) | [i] | Construction X with Cyclic Codes | |
| 33 | Linear OA(27101, 531470, F27, 24) (dual of [531470, 531369, 25]-code) | [i] | ||
| 34 | Linear OA(2793, 531470, F27, 22) (dual of [531470, 531377, 23]-code) | [i] | ||
| 35 | Linear OA(2785, 531470, F27, 20) (dual of [531470, 531385, 21]-code) | [i] | ||
| 36 | Linear OA(2777, 531470, F27, 18) (dual of [531470, 531393, 19]-code) | [i] | ||
| 37 | Linear OA(2769, 531470, F27, 16) (dual of [531470, 531401, 17]-code) | [i] | ||