Information on Result #603536
Linear OA(276, 6, F27, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,27)), using complete OA / dual of code with only one code word
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(2777, 753, F27, 29) (dual of [753, 676, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(2777, 753, F27, 29) (dual of [753, 676, 30]-code) | [i] | ||
| 3 | Linear OA(2777, 753, F27, 29) (dual of [753, 676, 30]-code) | [i] | ||
| 4 | Linear OA(27105, 19707, F27, 29) (dual of [19707, 19602, 30]-code) | [i] | ||
| 5 | Linear OA(27105, 19707, F27, 29) (dual of [19707, 19602, 30]-code) | [i] | ||
| 6 | Linear OA(27105, 19707, F27, 29) (dual of [19707, 19602, 30]-code) | [i] | ||
| 7 | Linear OA(2776, 753, F27, 28) (dual of [753, 677, 29]-code) | [i] | ||
| 8 | Linear OA(2776, 753, F27, 28) (dual of [753, 677, 29]-code) | [i] | ||
| 9 | Linear OA(2776, 753, F27, 28) (dual of [753, 677, 29]-code) | [i] | ||
| 10 | Linear OA(27102, 19707, F27, 28) (dual of [19707, 19605, 29]-code) | [i] | ||
| 11 | Linear OA(27102, 19707, F27, 28) (dual of [19707, 19605, 29]-code) | [i] | ||
| 12 | Linear OA(27102, 19707, F27, 28) (dual of [19707, 19605, 29]-code) | [i] | ||
| 13 | Linear OA(2792, 19707, F27, 24) (dual of [19707, 19615, 25]-code) | [i] | ||
| 14 | Linear OA(2792, 19707, F27, 24) (dual of [19707, 19615, 25]-code) | [i] | ||
| 15 | Linear OA(2792, 19707, F27, 24) (dual of [19707, 19615, 25]-code) | [i] | ||
| 16 | Linear OA(2788, 19708, F27, 23) (dual of [19708, 19620, 24]-code) | [i] | ||
| 17 | Linear OA(2788, 19708, F27, 23) (dual of [19708, 19620, 24]-code) | [i] | ||
| 18 | Linear OA(27110, 531466, F27, 23) (dual of [531466, 531356, 24]-code) | [i] | ||
| 19 | Linear OA(27110, 531466, F27, 23) (dual of [531466, 531356, 24]-code) | [i] | ||
| 20 | Linear OA(2760, 747, F27, 22) (dual of [747, 687, 23]-code) | [i] | ||
| 21 | Linear OA(2760, 747, F27, 22) (dual of [747, 687, 23]-code) | [i] | ||
| 22 | Linear OA(2781, 19701, F27, 22) (dual of [19701, 19620, 23]-code) | [i] | ||
| 23 | Linear OA(2781, 19701, F27, 22) (dual of [19701, 19620, 23]-code) | [i] | ||
| 24 | Linear OA(27102, 531459, F27, 22) (dual of [531459, 531357, 23]-code) | [i] | ||
| 25 | Linear OA(27102, 531459, F27, 22) (dual of [531459, 531357, 23]-code) | [i] | ||
| 26 | Linear OA(2753, 748, F27, 19) (dual of [748, 695, 20]-code) | [i] | ||
| 27 | Linear OA(2753, 748, F27, 19) (dual of [748, 695, 20]-code) | [i] | ||
| 28 | Linear OA(2771, 19702, F27, 19) (dual of [19702, 19631, 20]-code) | [i] | ||
| 29 | Linear OA(2771, 19702, F27, 19) (dual of [19702, 19631, 20]-code) | [i] | ||
| 30 | Linear OA(2789, 531460, F27, 19) (dual of [531460, 531371, 20]-code) | [i] | ||
| 31 | Linear OA(2789, 531460, F27, 19) (dual of [531460, 531371, 20]-code) | [i] | ||
| 32 | Linear OA(2768, 19701, F27, 18) (dual of [19701, 19633, 19]-code) | [i] | ||
| 33 | Linear OA(2768, 19701, F27, 18) (dual of [19701, 19633, 19]-code) | [i] | ||
| 34 | Linear OA(2785, 531459, F27, 18) (dual of [531459, 531374, 19]-code) | [i] | ||
| 35 | Linear OA(2785, 531459, F27, 18) (dual of [531459, 531374, 19]-code) | [i] | ||
| 36 | Linear OA(2764, 19702, F27, 17) (dual of [19702, 19638, 18]-code) | [i] | ||
| 37 | Linear OA(2780, 531460, F27, 17) (dual of [531460, 531380, 18]-code) | [i] | ||
| 38 | Linear OA(2742, 741, F27, 16) (dual of [741, 699, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 39 | Linear OA(2757, 19695, F27, 16) (dual of [19695, 19638, 17]-code) | [i] | ||
| 40 | Linear OA(2772, 531453, F27, 16) (dual of [531453, 531381, 17]-code) | [i] | ||
| 41 | Linear OA(2737, 741, F27, 14) (dual of [741, 704, 15]-code) | [i] | ||
| 42 | Linear OA(2750, 19695, F27, 14) (dual of [19695, 19645, 15]-code) | [i] | ||
| 43 | Linear OA(2763, 531453, F27, 14) (dual of [531453, 531390, 15]-code) | [i] | ||