Information on Result #617790
Linear OA(2770, 729, F27, 37) (dual of [729, 659, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(2788, 757, F27, 37) (dual of [757, 669, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2789, 767, F27, 37) (dual of [767, 678, 38]-code) | [i] | ||
| 3 | Linear OA(2790, 777, F27, 37) (dual of [777, 687, 38]-code) | [i] | ||
| 4 | Linear OA(2791, 781, F27, 37) (dual of [781, 690, 38]-code) | [i] | ||
| 5 | Linear OA(2792, 793, F27, 37) (dual of [793, 701, 38]-code) | [i] | ||
| 6 | Linear OA(2793, 797, F27, 37) (dual of [797, 704, 38]-code) | [i] | ||
| 7 | Linear OA(2794, 805, F27, 37) (dual of [805, 711, 38]-code) | [i] | ||
| 8 | Linear OA(2795, 811, F27, 37) (dual of [811, 716, 38]-code) | [i] | ||
| 9 | Linear OA(2796, 813, F27, 37) (dual of [813, 717, 38]-code) | [i] | ||
| 10 | Linear OA(2797, 817, F27, 37) (dual of [817, 720, 38]-code) | [i] | ||
| 11 | Linear OA(2798, 823, F27, 37) (dual of [823, 725, 38]-code) | [i] | ||
| 12 | Linear OA(2799, 825, F27, 37) (dual of [825, 726, 38]-code) | [i] | ||
| 13 | Linear OA(27100, 827, F27, 37) (dual of [827, 727, 38]-code) | [i] | ||
| 14 | Linear OA(27101, 834, F27, 37) (dual of [834, 733, 38]-code) | [i] | ||
| 15 | Linear OA(27103, 912, F27, 37) (dual of [912, 809, 38]-code) | [i] | ||
| 16 | Linear OA(27104, 1094, F27, 37) (dual of [1094, 990, 38]-code) | [i] | ||
| 17 | Linear OA(27104, 764, F27, 37) (dual of [764, 660, 38]-code) | [i] | Generalized (u, u+v)-Construction | |
| 18 | Linear OA(27101, 761, F27, 37) (dual of [761, 660, 38]-code) | [i] | ||
| 19 | Linear OA(27104, 765, F27, 37) (dual of [765, 661, 38]-code) | [i] | ||
| 20 | Linear OA(2799, 759, F27, 37) (dual of [759, 660, 38]-code) | [i] | ||
| 21 | Linear OA(27101, 762, F27, 37) (dual of [762, 661, 38]-code) | [i] | ||
| 22 | Linear OA(27103, 765, F27, 37) (dual of [765, 662, 38]-code) | [i] | ||
| 23 | Linear OA(27104, 768, F27, 37) (dual of [768, 664, 38]-code) | [i] | ||
| 24 | Linear OA(2795, 755, F27, 37) (dual of [755, 660, 38]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 25 | Linear OA(2796, 757, F27, 37) (dual of [757, 661, 38]-code) | [i] | ||
| 26 | Linear OA(2797, 759, F27, 37) (dual of [759, 662, 38]-code) | [i] | ||
| 27 | Linear OA(2798, 761, F27, 37) (dual of [761, 663, 38]-code) | [i] | ||
| 28 | Linear OA(2799, 763, F27, 37) (dual of [763, 664, 38]-code) | [i] | ||
| 29 | Linear OA(27100, 785, F27, 37) (dual of [785, 685, 38]-code) | [i] | ||
| 30 | Linear OA(27101, 795, F27, 37) (dual of [795, 694, 38]-code) | [i] | ||
| 31 | Linear OA(27102, 805, F27, 37) (dual of [805, 703, 38]-code) | [i] | ||
| 32 | Linear OA(27103, 815, F27, 37) (dual of [815, 712, 38]-code) | [i] | ||
| 33 | Linear OA(27104, 825, F27, 37) (dual of [825, 721, 38]-code) | [i] | ||
| 34 | Linear OA(2772, 731, F27, 38) (dual of [731, 659, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 35 | Linear OA(2770, 731, F27, 37) (dual of [731, 661, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(2775, 734, F27, 39) (dual of [734, 659, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(2771, 734, F27, 37) (dual of [734, 663, 38]-code) | [i] | ✔ | |
| 38 | Linear OA(2778, 737, F27, 40) (dual of [737, 659, 41]-code) | [i] | ✔ | |
| 39 | Linear OA(2772, 737, F27, 37) (dual of [737, 665, 38]-code) | [i] | ✔ | |
| 40 | Linear OA(2781, 740, F27, 41) (dual of [740, 659, 42]-code) | [i] | ✔ | |
| 41 | Linear OA(2773, 740, F27, 37) (dual of [740, 667, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(2784, 743, F27, 42) (dual of [743, 659, 43]-code) | [i] | ✔ | |
| 43 | Linear OA(2774, 743, F27, 37) (dual of [743, 669, 38]-code) | [i] | ✔ | |
| 44 | Linear OA(2787, 746, F27, 43) (dual of [746, 659, 44]-code) | [i] | ✔ | |
| 45 | Linear OA(2775, 746, F27, 37) (dual of [746, 671, 38]-code) | [i] | ✔ | |
| 46 | Linear OA(2790, 749, F27, 44) (dual of [749, 659, 45]-code) | [i] | ✔ | |
| 47 | Linear OA(2776, 749, F27, 37) (dual of [749, 673, 38]-code) | [i] | ✔ | |
| 48 | Linear OA(2793, 752, F27, 45) (dual of [752, 659, 46]-code) | [i] | ✔ | |
| 49 | Linear OA(2777, 752, F27, 37) (dual of [752, 675, 38]-code) | [i] | ✔ | |
| 50 | Linear OA(2796, 755, F27, 46) (dual of [755, 659, 47]-code) | [i] | ✔ | |
| 51 | Linear OA(2778, 754, F27, 37) (dual of [754, 676, 38]-code) | [i] | ✔ | |
| 52 | Linear OA(2799, 757, F27, 47) (dual of [757, 658, 48]-code) | [i] | ✔ | |
| 53 | Linear OA(27100, 759, F27, 47) (dual of [759, 659, 48]-code) | [i] | ✔ | |
| 54 | Linear OA(2780, 757, F27, 37) (dual of [757, 677, 38]-code) | [i] | ✔ | |
| 55 | Linear OA(2781, 759, F27, 37) (dual of [759, 678, 38]-code) | [i] | ✔ | |
| 56 | Linear OA(27103, 762, F27, 48) (dual of [762, 659, 49]-code) | [i] | ✔ | |
| 57 | Linear OA(2782, 762, F27, 37) (dual of [762, 680, 38]-code) | [i] | ✔ | |
| 58 | Linear OA(27106, 765, F27, 49) (dual of [765, 659, 50]-code) | [i] | ✔ | |
| 59 | Linear OA(2783, 765, F27, 37) (dual of [765, 682, 38]-code) | [i] | ✔ | |
| 60 | Linear OA(27109, 767, F27, 50) (dual of [767, 658, 51]-code) | [i] | ✔ | |
| 61 | Linear OA(27110, 769, F27, 50) (dual of [769, 659, 51]-code) | [i] | ✔ | |
| 62 | Linear OA(2784, 767, F27, 37) (dual of [767, 683, 38]-code) | [i] | ✔ | |
| 63 | Linear OA(2785, 769, F27, 37) (dual of [769, 684, 38]-code) | [i] | ✔ | |
| 64 | Linear OA(2786, 772, F27, 37) (dual of [772, 686, 38]-code) | [i] | ✔ | |
| 65 | Linear OA(2787, 775, F27, 37) (dual of [775, 688, 38]-code) | [i] | ✔ | |
| 66 | Linear OA(2788, 777, F27, 37) (dual of [777, 689, 38]-code) | [i] | ✔ | |
| 67 | Linear OA(2789, 779, F27, 37) (dual of [779, 690, 38]-code) | [i] | ✔ | |
| 68 | Linear OA(2790, 781, F27, 37) (dual of [781, 691, 38]-code) | [i] | ✔ | |
| 69 | Linear OA(2791, 783, F27, 37) (dual of [783, 692, 38]-code) | [i] | ✔ | |