Information on Result #603533
Linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)), 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(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 3 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 4 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 5 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 6 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 7 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 8 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 9 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 10 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 11 | Linear OA(27107, 765, F27, 38) (dual of [765, 658, 39]-code) | [i] | ||
| 12 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 13 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 14 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 15 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 16 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 17 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 18 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 19 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | ||
| 20 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 21 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 22 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 23 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 24 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 25 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 26 | Linear OA(2774, 753, F27, 26) (dual of [753, 679, 27]-code) | [i] | ||
| 27 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 28 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 29 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 30 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 31 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 32 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 33 | Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code) | [i] | ||
| 34 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 35 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 36 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 37 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 38 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 39 | Linear OA(2784, 19704, F27, 22) (dual of [19704, 19620, 23]-code) | [i] | ||
| 40 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 41 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 42 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 43 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 44 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 45 | Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) | [i] | ||
| 46 | Linear OA(2756, 747, F27, 20) (dual of [747, 691, 21]-code) | [i] | ||
| 47 | Linear OA(2756, 747, F27, 20) (dual of [747, 691, 21]-code) | [i] | ||
| 48 | Linear OA(2756, 747, F27, 20) (dual of [747, 691, 21]-code) | [i] | ||
| 49 | Linear OA(2756, 747, F27, 20) (dual of [747, 691, 21]-code) | [i] | ||
| 50 | Linear OA(2756, 747, F27, 20) (dual of [747, 691, 21]-code) | [i] | ||
| 51 | Linear OA(2775, 19701, F27, 20) (dual of [19701, 19626, 21]-code) | [i] | ||
| 52 | Linear OA(2775, 19701, F27, 20) (dual of [19701, 19626, 21]-code) | [i] | ||
| 53 | Linear OA(2775, 19701, F27, 20) (dual of [19701, 19626, 21]-code) | [i] | ||
| 54 | Linear OA(2775, 19701, F27, 20) (dual of [19701, 19626, 21]-code) | [i] | ||
| 55 | Linear OA(2775, 19701, F27, 20) (dual of [19701, 19626, 21]-code) | [i] | ||
| 56 | Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) | [i] | ||
| 57 | Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) | [i] | ||
| 58 | Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) | [i] | ||
| 59 | Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) | [i] | ||
| 60 | Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) | [i] | ||
| 61 | Linear OA(2760, 19698, F27, 16) (dual of [19698, 19638, 17]-code) | [i] | ||
| 62 | Linear OA(2760, 19698, F27, 16) (dual of [19698, 19638, 17]-code) | [i] | ||
| 63 | Linear OA(2760, 19698, F27, 16) (dual of [19698, 19638, 17]-code) | [i] | ||
| 64 | Linear OA(2760, 19698, F27, 16) (dual of [19698, 19638, 17]-code) | [i] | ||
| 65 | Linear OA(2775, 531456, F27, 16) (dual of [531456, 531381, 17]-code) | [i] | ||
| 66 | Linear OA(2775, 531456, F27, 16) (dual of [531456, 531381, 17]-code) | [i] | ||
| 67 | Linear OA(2775, 531456, F27, 16) (dual of [531456, 531381, 17]-code) | [i] | ||
| 68 | Linear OA(2775, 531456, F27, 16) (dual of [531456, 531381, 17]-code) | [i] | ||
| 69 | Linear OA(2738, 741, F27, 14) (dual of [741, 703, 15]-code) | [i] | ||
| 70 | Linear OA(2738, 741, F27, 14) (dual of [741, 703, 15]-code) | [i] | ||
| 71 | Linear OA(2738, 741, F27, 14) (dual of [741, 703, 15]-code) | [i] | ||
| 72 | Linear OA(2751, 19695, F27, 14) (dual of [19695, 19644, 15]-code) | [i] | ||
| 73 | Linear OA(2751, 19695, F27, 14) (dual of [19695, 19644, 15]-code) | [i] | ||
| 74 | Linear OA(2751, 19695, F27, 14) (dual of [19695, 19644, 15]-code) | [i] | ||
| 75 | Linear OA(2764, 531453, F27, 14) (dual of [531453, 531389, 15]-code) | [i] | ||
| 76 | Linear OA(2764, 531453, F27, 14) (dual of [531453, 531389, 15]-code) | [i] | ||
| 77 | Linear OA(2764, 531453, F27, 14) (dual of [531453, 531389, 15]-code) | [i] | ||
| 78 | Linear OA(2736, 19692, F27, 10) (dual of [19692, 19656, 11]-code) | [i] | ||
| 79 | Linear OA(2736, 19692, F27, 10) (dual of [19692, 19656, 11]-code) | [i] | ||
| 80 | Linear OA(2745, 531450, F27, 10) (dual of [531450, 531405, 11]-code) | [i] | ||
| 81 | Linear OA(2745, 531450, F27, 10) (dual of [531450, 531405, 11]-code) | [i] | ||
| 82 | Linear OA(2727, 19689, F27, 8) (dual of [19689, 19662, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 83 | Linear OA(2734, 531447, F27, 8) (dual of [531447, 531413, 9]-code) | [i] | ||