Information on Result #617743
Linear OA(2762, 729, F27, 33) (dual of [729, 667, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(2778, 757, F27, 33) (dual of [757, 679, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2779, 767, F27, 33) (dual of [767, 688, 34]-code) | [i] | ||
| 3 | Linear OA(2780, 777, F27, 33) (dual of [777, 697, 34]-code) | [i] | ||
| 4 | Linear OA(2781, 781, F27, 33) (dual of [781, 700, 34]-code) | [i] | ||
| 5 | Linear OA(2782, 793, F27, 33) (dual of [793, 711, 34]-code) | [i] | ||
| 6 | Linear OA(2783, 797, F27, 33) (dual of [797, 714, 34]-code) | [i] | ||
| 7 | Linear OA(2784, 805, F27, 33) (dual of [805, 721, 34]-code) | [i] | ||
| 8 | Linear OA(2785, 811, F27, 33) (dual of [811, 726, 34]-code) | [i] | ||
| 9 | Linear OA(2786, 813, F27, 33) (dual of [813, 727, 34]-code) | [i] | ||
| 10 | Linear OA(2787, 817, F27, 33) (dual of [817, 730, 34]-code) | [i] | ||
| 11 | Linear OA(2788, 823, F27, 33) (dual of [823, 735, 34]-code) | [i] | ||
| 12 | Linear OA(2789, 825, F27, 33) (dual of [825, 736, 34]-code) | [i] | ||
| 13 | Linear OA(2790, 834, F27, 33) (dual of [834, 744, 34]-code) | [i] | ||
| 14 | Linear OA(2791, 912, F27, 33) (dual of [912, 821, 34]-code) | [i] | ||
| 15 | Linear OA(2792, 1094, F27, 33) (dual of [1094, 1002, 34]-code) | [i] | ||
| 16 | Linear OA(2785, 753, F27, 33) (dual of [753, 668, 34]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2786, 755, F27, 33) (dual of [755, 669, 34]-code) | [i] | ||
| 18 | Linear OA(2788, 759, F27, 33) (dual of [759, 671, 34]-code) | [i] | ||
| 19 | Linear OA(2789, 785, F27, 33) (dual of [785, 696, 34]-code) | [i] | ||
| 20 | Linear OA(2790, 795, F27, 33) (dual of [795, 705, 34]-code) | [i] | ||
| 21 | Linear OA(2791, 805, F27, 33) (dual of [805, 714, 34]-code) | [i] | ||
| 22 | Linear OA(2792, 815, F27, 33) (dual of [815, 723, 34]-code) | [i] | ||
| 23 | Linear OA(2764, 731, F27, 34) (dual of [731, 667, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(2762, 731, F27, 33) (dual of [731, 669, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(2767, 734, F27, 35) (dual of [734, 667, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(2763, 734, F27, 33) (dual of [734, 671, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(2770, 737, F27, 36) (dual of [737, 667, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(2764, 737, F27, 33) (dual of [737, 673, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2773, 740, F27, 37) (dual of [740, 667, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(2765, 740, F27, 33) (dual of [740, 675, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(2776, 743, F27, 38) (dual of [743, 667, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(2766, 742, F27, 33) (dual of [742, 676, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2779, 746, F27, 39) (dual of [746, 667, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(2768, 746, F27, 33) (dual of [746, 678, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(2782, 749, F27, 40) (dual of [749, 667, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(2769, 749, F27, 33) (dual of [749, 680, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2785, 752, F27, 41) (dual of [752, 667, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(2770, 752, F27, 33) (dual of [752, 682, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(2788, 755, F27, 42) (dual of [755, 667, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(2771, 755, F27, 33) (dual of [755, 684, 34]-code) | [i] | ✔ | |
| 41 | Linear OA(2791, 757, F27, 43) (dual of [757, 666, 44]-code) | [i] | ✔ | |
| 42 | Linear OA(2792, 759, F27, 43) (dual of [759, 667, 44]-code) | [i] | ✔ | |
| 43 | Linear OA(2772, 757, F27, 33) (dual of [757, 685, 34]-code) | [i] | ✔ | |
| 44 | Linear OA(2773, 759, F27, 33) (dual of [759, 686, 34]-code) | [i] | ✔ | |
| 45 | Linear OA(2795, 762, F27, 44) (dual of [762, 667, 45]-code) | [i] | ✔ | |
| 46 | Linear OA(2774, 762, F27, 33) (dual of [762, 688, 34]-code) | [i] | ✔ | |
| 47 | Linear OA(2798, 765, F27, 45) (dual of [765, 667, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(2775, 765, F27, 33) (dual of [765, 690, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(27101, 767, F27, 46) (dual of [767, 666, 47]-code) | [i] | ✔ | |
| 50 | Linear OA(27102, 769, F27, 46) (dual of [769, 667, 47]-code) | [i] | ✔ | |
| 51 | Linear OA(2776, 767, F27, 33) (dual of [767, 691, 34]-code) | [i] | ✔ | |
| 52 | Linear OA(2777, 769, F27, 33) (dual of [769, 692, 34]-code) | [i] | ✔ | |
| 53 | Linear OA(27105, 772, F27, 47) (dual of [772, 667, 48]-code) | [i] | ✔ | |
| 54 | Linear OA(2778, 772, F27, 33) (dual of [772, 694, 34]-code) | [i] | ✔ | |
| 55 | Linear OA(27108, 775, F27, 48) (dual of [775, 667, 49]-code) | [i] | ✔ | |
| 56 | Linear OA(2779, 775, F27, 33) (dual of [775, 696, 34]-code) | [i] | ✔ | |