Information on Result #606854
Linear OA(273, 28, F27, 3) (dual of [28, 25, 4]-code or 28-arc in PG(2,27) or 28-cap in PG(2,27)), using extended Reed–Solomon code RSe(25,27)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2711, 66, F27, 7) (dual of [66, 55, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2716, 758, F27, 7) (dual of [758, 742, 8]-code) | [i] | ||
| 3 | Linear OA(2722, 19712, F27, 7) (dual of [19712, 19690, 8]-code) | [i] | ||
| 4 | Linear OA(2728, 531470, F27, 7) (dual of [531470, 531442, 8]-code) | [i] | ||
| 5 | Linear OA(2714, 757, F27, 6) (dual of [757, 743, 7]-code) | [i] | ||
| 6 | Linear OA(2719, 19711, F27, 6) (dual of [19711, 19692, 7]-code) | [i] | ||
| 7 | Linear OA(2724, 531469, F27, 6) (dual of [531469, 531445, 7]-code) | [i] | ||
| 8 | Linear OA(2716, 760, F27, 7) (dual of [760, 744, 8]-code) | [i] | ||
| 9 | Linear OA(2722, 19714, F27, 7) (dual of [19714, 19692, 8]-code) | [i] | ||
| 10 | Linear OA(2728, 531473, F27, 7) (dual of [531473, 531445, 8]-code) | [i] | ||
| 11 | Linear OA(2714, 760, F27, 6) (dual of [760, 746, 7]-code) | [i] | ||
| 12 | Linear OA(2719, 19714, F27, 6) (dual of [19714, 19695, 7]-code) | [i] | ||
| 13 | Linear OA(2724, 531473, F27, 6) (dual of [531473, 531449, 7]-code) | [i] | ||
| 14 | Linear OA(2729, 756, F27, 11) (dual of [756, 727, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(2723, 756, F27, 9) (dual of [756, 733, 10]-code) | [i] | ||
| 16 | Linear OA(2716, 756, F27, 7) (dual of [756, 740, 8]-code) | [i] | ||
| 17 | Linear OA(2717, 766, F27, 7) (dual of [766, 749, 8]-code) | [i] | ||
| 18 | Linear OA(2714, 756, F27, 6) (dual of [756, 742, 7]-code) | [i] | ||
| 19 | Linear OA(2729, 786, F27, 11) (dual of [786, 757, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(2739, 19740, F27, 11) (dual of [19740, 19701, 12]-code) | [i] | ||
| 21 | Linear OA(2740, 19750, F27, 11) (dual of [19750, 19710, 12]-code) | [i] | ||
| 22 | Linear OA(2749, 531498, F27, 11) (dual of [531498, 531449, 12]-code) | [i] | ||
| 23 | Linear OA(2750, 531508, F27, 11) (dual of [531508, 531458, 12]-code) | [i] | ||
| 24 | Linear OA(2736, 19739, F27, 10) (dual of [19739, 19703, 11]-code) | [i] | ||
| 25 | Linear OA(2745, 531497, F27, 10) (dual of [531497, 531452, 11]-code) | [i] | ||
| 26 | Linear OA(2732, 19740, F27, 9) (dual of [19740, 19708, 10]-code) | [i] | ||
| 27 | Linear OA(2740, 531498, F27, 9) (dual of [531498, 531458, 10]-code) | [i] | ||
| 28 | Linear OA(2724, 19740, F27, 7) (dual of [19740, 19716, 8]-code) | [i] | ||
| 29 | Linear OA(2730, 531498, F27, 7) (dual of [531498, 531468, 8]-code) | [i] | ||