Information on Result #617767
Linear OA(2766, 729, F27, 35) (dual of [729, 663, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(2783, 757, F27, 35) (dual of [757, 674, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2784, 767, F27, 35) (dual of [767, 683, 36]-code) | [i] | ||
| 3 | Linear OA(2785, 777, F27, 35) (dual of [777, 692, 36]-code) | [i] | ||
| 4 | Linear OA(2786, 781, F27, 35) (dual of [781, 695, 36]-code) | [i] | ||
| 5 | Linear OA(2787, 793, F27, 35) (dual of [793, 706, 36]-code) | [i] | ||
| 6 | Linear OA(2788, 797, F27, 35) (dual of [797, 709, 36]-code) | [i] | ||
| 7 | Linear OA(2789, 805, F27, 35) (dual of [805, 716, 36]-code) | [i] | ||
| 8 | Linear OA(2790, 811, F27, 35) (dual of [811, 721, 36]-code) | [i] | ||
| 9 | Linear OA(2791, 813, F27, 35) (dual of [813, 722, 36]-code) | [i] | ||
| 10 | Linear OA(2792, 817, F27, 35) (dual of [817, 725, 36]-code) | [i] | ||
| 11 | Linear OA(2793, 823, F27, 35) (dual of [823, 730, 36]-code) | [i] | ||
| 12 | Linear OA(2794, 825, F27, 35) (dual of [825, 731, 36]-code) | [i] | ||
| 13 | Linear OA(2795, 834, F27, 35) (dual of [834, 739, 36]-code) | [i] | ||
| 14 | Linear OA(2797, 912, F27, 35) (dual of [912, 815, 36]-code) | [i] | ||
| 15 | Linear OA(2798, 1094, F27, 35) (dual of [1094, 996, 36]-code) | [i] | ||
| 16 | Linear OA(2792, 756, F27, 35) (dual of [756, 664, 36]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(2794, 759, F27, 35) (dual of [759, 665, 36]-code) | [i] | ||
| 18 | Linear OA(2796, 762, F27, 35) (dual of [762, 666, 36]-code) | [i] | ||
| 19 | Linear OA(2797, 765, F27, 35) (dual of [765, 668, 36]-code) | [i] | ||
| 20 | Linear OA(2798, 768, F27, 35) (dual of [768, 670, 36]-code) | [i] | ||
| 21 | Linear OA(2789, 753, F27, 35) (dual of [753, 664, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 22 | Linear OA(2790, 755, F27, 35) (dual of [755, 665, 36]-code) | [i] | ||
| 23 | Linear OA(2791, 757, F27, 35) (dual of [757, 666, 36]-code) | [i] | ||
| 24 | Linear OA(2792, 759, F27, 35) (dual of [759, 667, 36]-code) | [i] | ||
| 25 | Linear OA(2793, 761, F27, 35) (dual of [761, 668, 36]-code) | [i] | ||
| 26 | Linear OA(2794, 785, F27, 35) (dual of [785, 691, 36]-code) | [i] | ||
| 27 | Linear OA(2795, 795, F27, 35) (dual of [795, 700, 36]-code) | [i] | ||
| 28 | Linear OA(2796, 805, F27, 35) (dual of [805, 709, 36]-code) | [i] | ||
| 29 | Linear OA(2797, 815, F27, 35) (dual of [815, 718, 36]-code) | [i] | ||
| 30 | Linear OA(2798, 825, F27, 35) (dual of [825, 727, 36]-code) | [i] | ||
| 31 | Linear OA(2768, 731, F27, 36) (dual of [731, 663, 37]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(2766, 731, F27, 35) (dual of [731, 665, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(2771, 734, F27, 37) (dual of [734, 663, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(2767, 734, F27, 35) (dual of [734, 667, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(2774, 737, F27, 38) (dual of [737, 663, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(2768, 737, F27, 35) (dual of [737, 669, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2777, 740, F27, 39) (dual of [740, 663, 40]-code) | [i] | ✔ | |
| 38 | Linear OA(2769, 740, F27, 35) (dual of [740, 671, 36]-code) | [i] | ✔ | |
| 39 | Linear OA(2780, 743, F27, 40) (dual of [743, 663, 41]-code) | [i] | ✔ | |
| 40 | Linear OA(2770, 743, F27, 35) (dual of [743, 673, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(2783, 746, F27, 41) (dual of [746, 663, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(2771, 746, F27, 35) (dual of [746, 675, 36]-code) | [i] | ✔ | |
| 43 | Linear OA(2786, 749, F27, 42) (dual of [749, 663, 43]-code) | [i] | ✔ | |
| 44 | Linear OA(2772, 748, F27, 35) (dual of [748, 676, 36]-code) | [i] | ✔ | |
| 45 | Linear OA(2789, 752, F27, 43) (dual of [752, 663, 44]-code) | [i] | ✔ | |
| 46 | Linear OA(2774, 752, F27, 35) (dual of [752, 678, 36]-code) | [i] | ✔ | |
| 47 | Linear OA(2792, 755, F27, 44) (dual of [755, 663, 45]-code) | [i] | ✔ | |
| 48 | Linear OA(2775, 755, F27, 35) (dual of [755, 680, 36]-code) | [i] | ✔ | |
| 49 | Linear OA(2795, 757, F27, 45) (dual of [757, 662, 46]-code) | [i] | ✔ | |
| 50 | Linear OA(2796, 759, F27, 45) (dual of [759, 663, 46]-code) | [i] | ✔ | |
| 51 | Linear OA(2776, 757, F27, 35) (dual of [757, 681, 36]-code) | [i] | ✔ | |
| 52 | Linear OA(2777, 759, F27, 35) (dual of [759, 682, 36]-code) | [i] | ✔ | |
| 53 | Linear OA(2799, 762, F27, 46) (dual of [762, 663, 47]-code) | [i] | ✔ | |
| 54 | Linear OA(2778, 762, F27, 35) (dual of [762, 684, 36]-code) | [i] | ✔ | |
| 55 | Linear OA(27102, 765, F27, 47) (dual of [765, 663, 48]-code) | [i] | ✔ | |
| 56 | Linear OA(2779, 765, F27, 35) (dual of [765, 686, 36]-code) | [i] | ✔ | |
| 57 | Linear OA(27105, 767, F27, 48) (dual of [767, 662, 49]-code) | [i] | ✔ | |
| 58 | Linear OA(27106, 769, F27, 48) (dual of [769, 663, 49]-code) | [i] | ✔ | |
| 59 | Linear OA(2780, 767, F27, 35) (dual of [767, 687, 36]-code) | [i] | ✔ | |
| 60 | Linear OA(2781, 769, F27, 35) (dual of [769, 688, 36]-code) | [i] | ✔ | |
| 61 | Linear OA(27109, 772, F27, 49) (dual of [772, 663, 50]-code) | [i] | ✔ | |
| 62 | Linear OA(2782, 772, F27, 35) (dual of [772, 690, 36]-code) | [i] | ✔ | |
| 63 | Linear OA(2783, 775, F27, 35) (dual of [775, 692, 36]-code) | [i] | ✔ | |
| 64 | Linear OA(2784, 777, F27, 35) (dual of [777, 693, 36]-code) | [i] | ✔ | |
| 65 | Linear OA(2785, 779, F27, 35) (dual of [779, 694, 36]-code) | [i] | ✔ | |