Information on Result #617824
Linear OA(2778, 729, F27, 41) (dual of [729, 651, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(2798, 757, F27, 41) (dual of [757, 659, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2799, 767, F27, 41) (dual of [767, 668, 42]-code) | [i] | ||
| 3 | Linear OA(27100, 777, F27, 41) (dual of [777, 677, 42]-code) | [i] | ||
| 4 | Linear OA(27101, 781, F27, 41) (dual of [781, 680, 42]-code) | [i] | ||
| 5 | Linear OA(27102, 793, F27, 41) (dual of [793, 691, 42]-code) | [i] | ||
| 6 | Linear OA(27103, 797, F27, 41) (dual of [797, 694, 42]-code) | [i] | ||
| 7 | Linear OA(27104, 805, F27, 41) (dual of [805, 701, 42]-code) | [i] | ||
| 8 | Linear OA(27105, 811, F27, 41) (dual of [811, 706, 42]-code) | [i] | ||
| 9 | Linear OA(27106, 813, F27, 41) (dual of [813, 707, 42]-code) | [i] | ||
| 10 | Linear OA(27107, 817, F27, 41) (dual of [817, 710, 42]-code) | [i] | ||
| 11 | Linear OA(27108, 823, F27, 41) (dual of [823, 715, 42]-code) | [i] | ||
| 12 | Linear OA(27109, 825, F27, 41) (dual of [825, 716, 42]-code) | [i] | ||
| 13 | Linear OA(27110, 827, F27, 41) (dual of [827, 717, 42]-code) | [i] | ||
| 14 | Linear OA(27110, 762, F27, 41) (dual of [762, 652, 42]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(27105, 757, F27, 41) (dual of [757, 652, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(27106, 759, F27, 41) (dual of [759, 653, 42]-code) | [i] | ||
| 17 | Linear OA(27107, 761, F27, 41) (dual of [761, 654, 42]-code) | [i] | ||
| 18 | Linear OA(27108, 763, F27, 41) (dual of [763, 655, 42]-code) | [i] | ||
| 19 | Linear OA(27109, 765, F27, 41) (dual of [765, 656, 42]-code) | [i] | ||
| 20 | Linear OA(27110, 767, F27, 41) (dual of [767, 657, 42]-code) | [i] | ||
| 21 | Linear OA(2780, 731, F27, 42) (dual of [731, 651, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(2778, 731, F27, 41) (dual of [731, 653, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(2783, 734, F27, 43) (dual of [734, 651, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(2779, 734, F27, 41) (dual of [734, 655, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(2786, 737, F27, 44) (dual of [737, 651, 45]-code) | [i] | ✔ | |
| 26 | Linear OA(2780, 737, F27, 41) (dual of [737, 657, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(2789, 740, F27, 45) (dual of [740, 651, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(2781, 740, F27, 41) (dual of [740, 659, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(2792, 743, F27, 46) (dual of [743, 651, 47]-code) | [i] | ✔ | |
| 30 | Linear OA(2782, 743, F27, 41) (dual of [743, 661, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(2795, 746, F27, 47) (dual of [746, 651, 48]-code) | [i] | ✔ | |
| 32 | Linear OA(2783, 746, F27, 41) (dual of [746, 663, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(2798, 749, F27, 48) (dual of [749, 651, 49]-code) | [i] | ✔ | |
| 34 | Linear OA(2784, 749, F27, 41) (dual of [749, 665, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(27101, 752, F27, 49) (dual of [752, 651, 50]-code) | [i] | ✔ | |
| 36 | Linear OA(2785, 752, F27, 41) (dual of [752, 667, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(27104, 755, F27, 50) (dual of [755, 651, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(2786, 755, F27, 41) (dual of [755, 669, 42]-code) | [i] | ✔ | |
| 39 | Linear OA(27107, 757, F27, 51) (dual of [757, 650, 52]-code) | [i] | ✔ | |
| 40 | Linear OA(27108, 759, F27, 51) (dual of [759, 651, 52]-code) | [i] | ✔ | |
| 41 | Linear OA(2787, 757, F27, 41) (dual of [757, 670, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(2788, 759, F27, 41) (dual of [759, 671, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(2789, 762, F27, 41) (dual of [762, 673, 42]-code) | [i] | ✔ | |
| 44 | Linear OA(2790, 765, F27, 41) (dual of [765, 675, 42]-code) | [i] | ✔ | |
| 45 | Linear OA(2791, 767, F27, 41) (dual of [767, 676, 42]-code) | [i] | ✔ | |
| 46 | Linear OA(2794, 772, F27, 41) (dual of [772, 678, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(2795, 775, F27, 41) (dual of [775, 680, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(2796, 777, F27, 41) (dual of [777, 681, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(2797, 779, F27, 41) (dual of [779, 682, 42]-code) | [i] | ✔ | |
| 50 | Linear OA(2798, 781, F27, 41) (dual of [781, 683, 42]-code) | [i] | ✔ | |
| 51 | Linear OA(2799, 783, F27, 41) (dual of [783, 684, 42]-code) | [i] | ✔ | |
| 52 | Linear OA(27100, 786, F27, 41) (dual of [786, 686, 42]-code) | [i] | ✔ | |
| 53 | Linear OA(27101, 789, F27, 41) (dual of [789, 688, 42]-code) | [i] | ✔ | |