Information on Result #617777
Linear OA(2768, 729, F27, 36) (dual of [729, 661, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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(2786, 757, F27, 36) (dual of [757, 671, 37]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2787, 767, F27, 36) (dual of [767, 680, 37]-code) | [i] | ||
| 3 | Linear OA(2788, 777, F27, 36) (dual of [777, 689, 37]-code) | [i] | ||
| 4 | Linear OA(2789, 781, F27, 36) (dual of [781, 692, 37]-code) | [i] | ||
| 5 | Linear OA(2790, 793, F27, 36) (dual of [793, 703, 37]-code) | [i] | ||
| 6 | Linear OA(2791, 797, F27, 36) (dual of [797, 706, 37]-code) | [i] | ||
| 7 | Linear OA(2792, 805, F27, 36) (dual of [805, 713, 37]-code) | [i] | ||
| 8 | Linear OA(2793, 811, F27, 36) (dual of [811, 718, 37]-code) | [i] | ||
| 9 | Linear OA(2794, 813, F27, 36) (dual of [813, 719, 37]-code) | [i] | ||
| 10 | Linear OA(2795, 817, F27, 36) (dual of [817, 722, 37]-code) | [i] | ||
| 11 | Linear OA(2796, 823, F27, 36) (dual of [823, 727, 37]-code) | [i] | ||
| 12 | Linear OA(2797, 825, F27, 36) (dual of [825, 728, 37]-code) | [i] | ||
| 13 | Linear OA(2798, 827, F27, 36) (dual of [827, 729, 37]-code) | [i] | ||
| 14 | Linear OA(2799, 834, F27, 36) (dual of [834, 735, 37]-code) | [i] | ||
| 15 | Linear OA(27101, 912, F27, 36) (dual of [912, 811, 37]-code) | [i] | ||
| 16 | Linear OA(2799, 761, F27, 36) (dual of [761, 662, 37]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(2797, 759, F27, 36) (dual of [759, 662, 37]-code) | [i] | ||
| 18 | Linear OA(2799, 762, F27, 36) (dual of [762, 663, 37]-code) | [i] | ||
| 19 | Linear OA(27101, 765, F27, 36) (dual of [765, 664, 37]-code) | [i] | ||
| 20 | Linear OA(2793, 755, F27, 36) (dual of [755, 662, 37]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(2794, 757, F27, 36) (dual of [757, 663, 37]-code) | [i] | ||
| 22 | Linear OA(2795, 759, F27, 36) (dual of [759, 664, 37]-code) | [i] | ||
| 23 | Linear OA(2796, 761, F27, 36) (dual of [761, 665, 37]-code) | [i] | ||
| 24 | Linear OA(2797, 763, F27, 36) (dual of [763, 666, 37]-code) | [i] | ||
| 25 | Linear OA(2798, 785, F27, 36) (dual of [785, 687, 37]-code) | [i] | ||
| 26 | Linear OA(2799, 795, F27, 36) (dual of [795, 696, 37]-code) | [i] | ||
| 27 | Linear OA(27100, 805, F27, 36) (dual of [805, 705, 37]-code) | [i] | ||
| 28 | Linear OA(27101, 815, F27, 36) (dual of [815, 714, 37]-code) | [i] | ||
| 29 | Linear OA(2770, 731, F27, 37) (dual of [731, 661, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 30 | Linear OA(2768, 731, F27, 36) (dual of [731, 663, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(2773, 734, F27, 38) (dual of [734, 661, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(2769, 734, F27, 36) (dual of [734, 665, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(2776, 737, F27, 39) (dual of [737, 661, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(2770, 737, F27, 36) (dual of [737, 667, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(2779, 740, F27, 40) (dual of [740, 661, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(2771, 740, F27, 36) (dual of [740, 669, 37]-code) | [i] | ✔ | |
| 37 | Linear OA(2782, 743, F27, 41) (dual of [743, 661, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(2772, 743, F27, 36) (dual of [743, 671, 37]-code) | [i] | ✔ | |
| 39 | Linear OA(2785, 746, F27, 42) (dual of [746, 661, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(2773, 746, F27, 36) (dual of [746, 673, 37]-code) | [i] | ✔ | |
| 41 | Linear OA(2788, 749, F27, 43) (dual of [749, 661, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(2774, 749, F27, 36) (dual of [749, 675, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(2791, 752, F27, 44) (dual of [752, 661, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(2775, 751, F27, 36) (dual of [751, 676, 37]-code) | [i] | ✔ | |
| 45 | Linear OA(2794, 755, F27, 45) (dual of [755, 661, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(2777, 755, F27, 36) (dual of [755, 678, 37]-code) | [i] | ✔ | |
| 47 | Linear OA(2797, 757, F27, 46) (dual of [757, 660, 47]-code) | [i] | ✔ | |
| 48 | Linear OA(2798, 759, F27, 46) (dual of [759, 661, 47]-code) | [i] | ✔ | |
| 49 | Linear OA(2778, 757, F27, 36) (dual of [757, 679, 37]-code) | [i] | ✔ | |
| 50 | Linear OA(2779, 759, F27, 36) (dual of [759, 680, 37]-code) | [i] | ✔ | |
| 51 | Linear OA(27101, 762, F27, 47) (dual of [762, 661, 48]-code) | [i] | ✔ | |
| 52 | Linear OA(2780, 762, F27, 36) (dual of [762, 682, 37]-code) | [i] | ✔ | |
| 53 | Linear OA(27104, 765, F27, 48) (dual of [765, 661, 49]-code) | [i] | ✔ | |
| 54 | Linear OA(2781, 765, F27, 36) (dual of [765, 684, 37]-code) | [i] | ✔ | |
| 55 | Linear OA(27107, 767, F27, 49) (dual of [767, 660, 50]-code) | [i] | ✔ | |
| 56 | Linear OA(27108, 769, F27, 49) (dual of [769, 661, 50]-code) | [i] | ✔ | |
| 57 | Linear OA(2782, 767, F27, 36) (dual of [767, 685, 37]-code) | [i] | ✔ | |
| 58 | Linear OA(2783, 769, F27, 36) (dual of [769, 686, 37]-code) | [i] | ✔ | |
| 59 | Linear OA(2784, 772, F27, 36) (dual of [772, 688, 37]-code) | [i] | ✔ | |
| 60 | Linear OA(2785, 775, F27, 36) (dual of [775, 690, 37]-code) | [i] | ✔ | |
| 61 | Linear OA(2786, 777, F27, 36) (dual of [777, 691, 37]-code) | [i] | ✔ | |
| 62 | Linear OA(2787, 779, F27, 36) (dual of [779, 692, 37]-code) | [i] | ✔ | |
| 63 | Linear OA(2788, 781, F27, 36) (dual of [781, 693, 37]-code) | [i] | ✔ | |
| 64 | Linear OA(2789, 783, F27, 36) (dual of [783, 694, 37]-code) | [i] | ✔ | |