Information on Result #617843
Linear OA(2784, 729, F27, 44) (dual of [729, 645, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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(27106, 757, F27, 44) (dual of [757, 651, 45]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27107, 767, F27, 44) (dual of [767, 660, 45]-code) | [i] | ||
| 3 | Linear OA(27108, 777, F27, 44) (dual of [777, 669, 45]-code) | [i] | ||
| 4 | Linear OA(27109, 781, F27, 44) (dual of [781, 672, 45]-code) | [i] | ||
| 5 | Linear OA(27110, 793, F27, 44) (dual of [793, 683, 45]-code) | [i] | ||
| 6 | Linear OA(2786, 731, F27, 45) (dual of [731, 645, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(2784, 731, F27, 44) (dual of [731, 647, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(2789, 734, F27, 46) (dual of [734, 645, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(2785, 734, F27, 44) (dual of [734, 649, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(2792, 737, F27, 47) (dual of [737, 645, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(2786, 737, F27, 44) (dual of [737, 651, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(2795, 740, F27, 48) (dual of [740, 645, 49]-code) | [i] | ✔ | |
| 13 | Linear OA(2787, 740, F27, 44) (dual of [740, 653, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(2798, 743, F27, 49) (dual of [743, 645, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(2788, 743, F27, 44) (dual of [743, 655, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(27101, 746, F27, 50) (dual of [746, 645, 51]-code) | [i] | ✔ | |
| 17 | Linear OA(2789, 746, F27, 44) (dual of [746, 657, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(27104, 749, F27, 51) (dual of [749, 645, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(2790, 749, F27, 44) (dual of [749, 659, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(27107, 752, F27, 52) (dual of [752, 645, 53]-code) | [i] | ✔ | |
| 21 | Linear OA(2791, 752, F27, 44) (dual of [752, 661, 45]-code) | [i] | ✔ | |
| 22 | Linear OA(27110, 755, F27, 53) (dual of [755, 645, 54]-code) | [i] | ✔ | |
| 23 | Linear OA(2792, 755, F27, 44) (dual of [755, 663, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(2793, 757, F27, 44) (dual of [757, 664, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(2794, 759, F27, 44) (dual of [759, 665, 45]-code) | [i] | ✔ | |
| 26 | Linear OA(2795, 762, F27, 44) (dual of [762, 667, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(2796, 765, F27, 44) (dual of [765, 669, 45]-code) | [i] | ✔ | |
| 28 | Linear OA(2797, 767, F27, 44) (dual of [767, 670, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(2798, 769, F27, 44) (dual of [769, 671, 45]-code) | [i] | ✔ | |
| 30 | Linear OA(2799, 772, F27, 44) (dual of [772, 673, 45]-code) | [i] | ✔ | |
| 31 | Linear OA(27100, 775, F27, 44) (dual of [775, 675, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(27101, 777, F27, 44) (dual of [777, 676, 45]-code) | [i] | ✔ | |
| 33 | Linear OA(27104, 781, F27, 44) (dual of [781, 677, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(27105, 783, F27, 44) (dual of [783, 678, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(27106, 786, F27, 44) (dual of [786, 680, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(27107, 789, F27, 44) (dual of [789, 682, 45]-code) | [i] | ✔ | |
| 37 | Linear OA(27108, 792, F27, 44) (dual of [792, 684, 45]-code) | [i] | ✔ | |
| 38 | Linear OA(27110, 796, F27, 44) (dual of [796, 686, 45]-code) | [i] | ✔ | |