Information on Result #606859
Linear OA(278, 28, F27, 8) (dual of [28, 20, 9]-code or 28-arc in PG(7,27)), using extended Reed–Solomon code RSe(20,27)
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(2741, 758, F27, 17) (dual of [758, 717, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2757, 19712, F27, 17) (dual of [19712, 19655, 18]-code) | [i] | ||
| 3 | Linear OA(2773, 531470, F27, 17) (dual of [531470, 531397, 18]-code) | [i] | ||
| 4 | Linear OA(2739, 757, F27, 16) (dual of [757, 718, 17]-code) | [i] | ||
| 5 | Linear OA(2754, 19711, F27, 16) (dual of [19711, 19657, 17]-code) | [i] | ||
| 6 | Linear OA(2769, 531469, F27, 16) (dual of [531469, 531400, 17]-code) | [i] | ||
| 7 | Linear OA(2741, 760, F27, 17) (dual of [760, 719, 18]-code) | [i] | ||
| 8 | Linear OA(2739, 760, F27, 16) (dual of [760, 721, 17]-code) | [i] | ||
| 9 | Linear OA(2720, 756, F27, 8) (dual of [756, 736, 9]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(2772, 785, F27, 26) (dual of [785, 713, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2773, 795, F27, 26) (dual of [795, 722, 27]-code) | [i] | ||
| 12 | Linear OA(2797, 19739, F27, 26) (dual of [19739, 19642, 27]-code) | [i] | ||
| 13 | Linear OA(2798, 19749, F27, 26) (dual of [19749, 19651, 27]-code) | [i] | ||
| 14 | Linear OA(2769, 786, F27, 25) (dual of [786, 717, 26]-code) | [i] | ||
| 15 | Linear OA(2770, 796, F27, 25) (dual of [796, 726, 26]-code) | [i] | ||
| 16 | Linear OA(2793, 19740, F27, 25) (dual of [19740, 19647, 26]-code) | [i] | ||
| 17 | Linear OA(2794, 19750, F27, 25) (dual of [19750, 19656, 26]-code) | [i] | ||
| 18 | Linear OA(2767, 785, F27, 24) (dual of [785, 718, 25]-code) | [i] | ||
| 19 | Linear OA(2768, 795, F27, 24) (dual of [795, 727, 25]-code) | [i] | ||
| 20 | Linear OA(2790, 19739, F27, 24) (dual of [19739, 19649, 25]-code) | [i] | ||
| 21 | Linear OA(2791, 19749, F27, 24) (dual of [19749, 19658, 25]-code) | [i] | ||
| 22 | Linear OA(2746, 786, F27, 17) (dual of [786, 740, 18]-code) | [i] | ||
| 23 | Linear OA(2762, 19740, F27, 17) (dual of [19740, 19678, 18]-code) | [i] | ||
| 24 | Linear OA(2778, 531498, F27, 17) (dual of [531498, 531420, 18]-code) | [i] | ||
| 25 | Linear OA(2744, 785, F27, 16) (dual of [785, 741, 17]-code) | [i] | ||
| 26 | Linear OA(2759, 19739, F27, 16) (dual of [19739, 19680, 17]-code) | [i] | ||
| 27 | Linear OA(2774, 531497, F27, 16) (dual of [531497, 531423, 17]-code) | [i] | ||
| 28 | Linear OA(27109, 758, F27, 50) (dual of [758, 649, 51]-code) | [i] | Construction X with Cyclic Codes | |
| 29 | Linear OA(27105, 758, F27, 48) (dual of [758, 653, 49]-code) | [i] | ||
| 30 | Linear OA(27101, 758, F27, 46) (dual of [758, 657, 47]-code) | [i] | ||
| 31 | Linear OA(2797, 758, F27, 44) (dual of [758, 661, 45]-code) | [i] | ||
| 32 | Linear OA(2793, 758, F27, 42) (dual of [758, 665, 43]-code) | [i] | ||
| 33 | Linear OA(2789, 758, F27, 40) (dual of [758, 669, 41]-code) | [i] | ||
| 34 | Linear OA(2785, 758, F27, 38) (dual of [758, 673, 39]-code) | [i] | ||
| 35 | Linear OA(2781, 758, F27, 36) (dual of [758, 677, 37]-code) | [i] | ||
| 36 | Linear OA(2777, 758, F27, 34) (dual of [758, 681, 35]-code) | [i] | ||
| 37 | Linear OA(2773, 758, F27, 32) (dual of [758, 685, 33]-code) | [i] | ||
| 38 | Linear OA(2769, 758, F27, 30) (dual of [758, 689, 31]-code) | [i] | ||
| 39 | Linear OA(2765, 758, F27, 28) (dual of [758, 693, 29]-code) | [i] | ||
| 40 | Linear OA(2761, 758, F27, 26) (dual of [758, 697, 27]-code) | [i] | ||
| 41 | Linear OA(2757, 758, F27, 24) (dual of [758, 701, 25]-code) | [i] | ||
| 42 | Linear OA(2753, 758, F27, 22) (dual of [758, 705, 23]-code) | [i] | ||
| 43 | Linear OA(2749, 758, F27, 20) (dual of [758, 709, 21]-code) | [i] | ||