Information on Result #617448
Linear OA(2711, 28, F27, 11) (dual of [28, 17, 12]-code or 28-arc in PG(10,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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(2756, 758, F27, 23) (dual of [758, 702, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2778, 19712, F27, 23) (dual of [19712, 19634, 24]-code) | [i] | ||
| 3 | Linear OA(27100, 531470, F27, 23) (dual of [531470, 531370, 24]-code) | [i] | ||
| 4 | Linear OA(2754, 757, F27, 22) (dual of [757, 703, 23]-code) | [i] | ||
| 5 | Linear OA(2775, 19711, F27, 22) (dual of [19711, 19636, 23]-code) | [i] | ||
| 6 | Linear OA(2796, 531469, F27, 22) (dual of [531469, 531373, 23]-code) | [i] | ||
| 7 | Linear OA(2729, 756, F27, 11) (dual of [756, 727, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(361, 112, F3, 23) (dual of [112, 51, 24]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(2794, 785, F27, 35) (dual of [785, 691, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(2795, 795, F27, 35) (dual of [795, 700, 36]-code) | [i] | ||
| 11 | Linear OA(2792, 785, F27, 34) (dual of [785, 693, 35]-code) | [i] | ||
| 12 | Linear OA(2793, 795, F27, 34) (dual of [795, 702, 35]-code) | [i] | ||
| 13 | Linear OA(2789, 785, F27, 33) (dual of [785, 696, 34]-code) | [i] | ||
| 14 | Linear OA(2790, 795, F27, 33) (dual of [795, 705, 34]-code) | [i] | ||
| 15 | Linear OA(2763, 786, F27, 23) (dual of [786, 723, 24]-code) | [i] | ||
| 16 | Linear OA(2785, 19740, F27, 23) (dual of [19740, 19655, 24]-code) | [i] | ||
| 17 | Linear OA(27107, 531498, F27, 23) (dual of [531498, 531391, 24]-code) | [i] | ||
| 18 | Linear OA(2761, 785, F27, 22) (dual of [785, 724, 23]-code) | [i] | ||
| 19 | Linear OA(2782, 19739, F27, 22) (dual of [19739, 19657, 23]-code) | [i] | ||
| 20 | Linear OA(27103, 531497, F27, 22) (dual of [531497, 531394, 23]-code) | [i] | ||
| 21 | Linear OA(2715, 33, F27, 11) (dual of [33, 18, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 22 | Linear OA(2784, 782, F27, 34) (dual of [782, 698, 35]-code) | [i] | Construction XX with Cyclic Codes | |
| 23 | Linear OA(2779, 770, F27, 34) (dual of [770, 691, 35]-code) | [i] | ||
| 24 | Linear OA(2786, 782, F27, 35) (dual of [782, 696, 36]-code) | [i] | ||
| 25 | Linear OA(2781, 770, F27, 35) (dual of [770, 689, 36]-code) | [i] | ||
| 26 | Linear OA(2782, 773, F27, 35) (dual of [773, 691, 36]-code) | [i] | ||
| 27 | Linear OA(2788, 782, F27, 36) (dual of [782, 694, 37]-code) | [i] | ||
| 28 | Linear OA(2783, 770, F27, 36) (dual of [770, 687, 37]-code) | [i] | ||
| 29 | Linear OA(2784, 773, F27, 36) (dual of [773, 689, 37]-code) | [i] | ||
| 30 | Linear OA(2786, 778, F27, 36) (dual of [778, 692, 37]-code) | [i] | ||
| 31 | Linear OA(2785, 776, F27, 36) (dual of [776, 691, 37]-code) | [i] | ||
| 32 | Linear OA(2790, 782, F27, 37) (dual of [782, 692, 38]-code) | [i] | ||
| 33 | Linear OA(2785, 770, F27, 37) (dual of [770, 685, 38]-code) | [i] | ||
| 34 | Linear OA(2786, 773, F27, 37) (dual of [773, 687, 38]-code) | [i] | ||
| 35 | Linear OA(2788, 778, F27, 37) (dual of [778, 690, 38]-code) | [i] | ||
| 36 | Linear OA(2787, 776, F27, 37) (dual of [776, 689, 38]-code) | [i] | ||
| 37 | Linear OA(2789, 781, F27, 37) (dual of [781, 692, 38]-code) | [i] | ||
| 38 | Linear OA(2788, 779, F27, 37) (dual of [779, 691, 38]-code) | [i] | ||
| 39 | Linear OA(2787, 770, F27, 38) (dual of [770, 683, 39]-code) | [i] | ||
| 40 | Linear OA(2788, 773, F27, 38) (dual of [773, 685, 39]-code) | [i] | ||
| 41 | Linear OA(2790, 778, F27, 38) (dual of [778, 688, 39]-code) | [i] | ||
| 42 | Linear OA(2789, 776, F27, 38) (dual of [776, 687, 39]-code) | [i] | ||
| 43 | Linear OA(2791, 781, F27, 38) (dual of [781, 690, 39]-code) | [i] | ||
| 44 | Linear OA(2790, 779, F27, 38) (dual of [779, 689, 39]-code) | [i] | ||
| 45 | Linear OA(2792, 784, F27, 38) (dual of [784, 692, 39]-code) | [i] | ||
| 46 | Linear OA(2791, 782, F27, 38) (dual of [782, 691, 39]-code) | [i] | ||
| 47 | Linear OA(2789, 770, F27, 39) (dual of [770, 681, 40]-code) | [i] | ||
| 48 | Linear OA(2790, 773, F27, 39) (dual of [773, 683, 40]-code) | [i] | ||
| 49 | Linear OA(2792, 778, F27, 39) (dual of [778, 686, 40]-code) | [i] | ||
| 50 | Linear OA(2791, 776, F27, 39) (dual of [776, 685, 40]-code) | [i] | ||
| 51 | Linear OA(2793, 781, F27, 39) (dual of [781, 688, 40]-code) | [i] | ||
| 52 | Linear OA(2792, 779, F27, 39) (dual of [779, 687, 40]-code) | [i] | ||
| 53 | Linear OA(2794, 784, F27, 39) (dual of [784, 690, 40]-code) | [i] | ||
| 54 | Linear OA(2793, 782, F27, 39) (dual of [782, 689, 40]-code) | [i] | ||
| 55 | Linear OA(2791, 770, F27, 40) (dual of [770, 679, 41]-code) | [i] | ||
| 56 | Linear OA(2792, 773, F27, 40) (dual of [773, 681, 41]-code) | [i] | ||
| 57 | Linear OA(2794, 778, F27, 40) (dual of [778, 684, 41]-code) | [i] | ||
| 58 | Linear OA(2793, 776, F27, 40) (dual of [776, 683, 41]-code) | [i] | ||
| 59 | Linear OA(2795, 781, F27, 40) (dual of [781, 686, 41]-code) | [i] | ||
| 60 | Linear OA(2794, 779, F27, 40) (dual of [779, 685, 41]-code) | [i] | ||
| 61 | Linear OA(2796, 784, F27, 40) (dual of [784, 688, 41]-code) | [i] | ||
| 62 | Linear OA(2795, 782, F27, 40) (dual of [782, 687, 41]-code) | [i] | ||
| 63 | Linear OA(2793, 770, F27, 41) (dual of [770, 677, 42]-code) | [i] | ||
| 64 | Linear OA(2794, 773, F27, 41) (dual of [773, 679, 42]-code) | [i] | ||
| 65 | Linear OA(2796, 778, F27, 41) (dual of [778, 682, 42]-code) | [i] | ||
| 66 | Linear OA(2795, 776, F27, 41) (dual of [776, 681, 42]-code) | [i] | ||
| 67 | Linear OA(2797, 781, F27, 41) (dual of [781, 684, 42]-code) | [i] | ||
| 68 | Linear OA(2796, 779, F27, 41) (dual of [779, 683, 42]-code) | [i] | ||
| 69 | Linear OA(2798, 784, F27, 41) (dual of [784, 686, 42]-code) | [i] | ||
| 70 | Linear OA(2797, 782, F27, 41) (dual of [782, 685, 42]-code) | [i] | ||
| 71 | Linear OA(2796, 773, F27, 42) (dual of [773, 677, 43]-code) | [i] | ||
| 72 | Linear OA(2798, 778, F27, 42) (dual of [778, 680, 43]-code) | [i] | ||
| 73 | Linear OA(2797, 776, F27, 42) (dual of [776, 679, 43]-code) | [i] | ||
| 74 | Linear OA(2799, 781, F27, 42) (dual of [781, 682, 43]-code) | [i] | ||
| 75 | Linear OA(2798, 779, F27, 42) (dual of [779, 681, 43]-code) | [i] | ||
| 76 | Linear OA(27100, 784, F27, 42) (dual of [784, 684, 43]-code) | [i] | ||
| 77 | Linear OA(2799, 782, F27, 42) (dual of [782, 683, 43]-code) | [i] | ||
| 78 | Linear OA(27100, 778, F27, 43) (dual of [778, 678, 44]-code) | [i] | ||
| 79 | Linear OA(2799, 776, F27, 43) (dual of [776, 677, 44]-code) | [i] | ||
| 80 | Linear OA(27101, 781, F27, 43) (dual of [781, 680, 44]-code) | [i] | ||
| 81 | Linear OA(27100, 779, F27, 43) (dual of [779, 679, 44]-code) | [i] | ||
| 82 | Linear OA(27102, 784, F27, 43) (dual of [784, 682, 44]-code) | [i] | ||
| 83 | Linear OA(27101, 782, F27, 43) (dual of [782, 681, 44]-code) | [i] | ||
| 84 | Linear OA(27103, 781, F27, 44) (dual of [781, 678, 45]-code) | [i] | ||
| 85 | Linear OA(27102, 779, F27, 44) (dual of [779, 677, 45]-code) | [i] | ||
| 86 | Linear OA(27104, 784, F27, 44) (dual of [784, 680, 45]-code) | [i] | ||
| 87 | Linear OA(27103, 782, F27, 44) (dual of [782, 679, 45]-code) | [i] | ||
| 88 | Linear OA(27106, 784, F27, 45) (dual of [784, 678, 46]-code) | [i] | ||
| 89 | Linear OA(27105, 782, F27, 45) (dual of [782, 677, 46]-code) | [i] | ||
| 90 | Linear OA(27108, 784, F27, 46) (dual of [784, 676, 47]-code) | [i] | ||
| 91 | Linear OA(27107, 782, F27, 46) (dual of [782, 675, 47]-code) | [i] | ||
| 92 | Linear OA(27110, 784, F27, 47) (dual of [784, 674, 48]-code) | [i] | ||
| 93 | Linear OA(27109, 782, F27, 47) (dual of [782, 673, 48]-code) | [i] | ||