Information on Result #617836
Linear OA(2782, 729, F27, 43) (dual of [729, 647, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(27103, 757, F27, 43) (dual of [757, 654, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27104, 767, F27, 43) (dual of [767, 663, 44]-code) | [i] | ||
| 3 | Linear OA(27105, 777, F27, 43) (dual of [777, 672, 44]-code) | [i] | ||
| 4 | Linear OA(27106, 781, F27, 43) (dual of [781, 675, 44]-code) | [i] | ||
| 5 | Linear OA(27107, 793, F27, 43) (dual of [793, 686, 44]-code) | [i] | ||
| 6 | Linear OA(27108, 797, F27, 43) (dual of [797, 689, 44]-code) | [i] | ||
| 7 | Linear OA(27109, 805, F27, 43) (dual of [805, 696, 44]-code) | [i] | ||
| 8 | Linear OA(27110, 811, F27, 43) (dual of [811, 701, 44]-code) | [i] | ||
| 9 | Linear OA(2784, 731, F27, 44) (dual of [731, 647, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(2782, 731, F27, 43) (dual of [731, 649, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(2787, 734, F27, 45) (dual of [734, 647, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(2783, 734, F27, 43) (dual of [734, 651, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(2790, 737, F27, 46) (dual of [737, 647, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(2784, 737, F27, 43) (dual of [737, 653, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(2793, 740, F27, 47) (dual of [740, 647, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(2785, 740, F27, 43) (dual of [740, 655, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(2796, 743, F27, 48) (dual of [743, 647, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(2786, 743, F27, 43) (dual of [743, 657, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(2799, 746, F27, 49) (dual of [746, 647, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(2787, 746, F27, 43) (dual of [746, 659, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(27102, 749, F27, 50) (dual of [749, 647, 51]-code) | [i] | ✔ | |
| 22 | Linear OA(2788, 749, F27, 43) (dual of [749, 661, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(27105, 752, F27, 51) (dual of [752, 647, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(2789, 752, F27, 43) (dual of [752, 663, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(27108, 755, F27, 52) (dual of [755, 647, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(2790, 755, F27, 43) (dual of [755, 665, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(2791, 757, F27, 43) (dual of [757, 666, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(2792, 759, F27, 43) (dual of [759, 667, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(2793, 762, F27, 43) (dual of [762, 669, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(2794, 765, F27, 43) (dual of [765, 671, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(2795, 767, F27, 43) (dual of [767, 672, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(2796, 769, F27, 43) (dual of [769, 673, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(2797, 772, F27, 43) (dual of [772, 675, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(2798, 774, F27, 43) (dual of [774, 676, 44]-code) | [i] | ✔ | |
| 35 | Linear OA(27100, 777, F27, 43) (dual of [777, 677, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(27101, 779, F27, 43) (dual of [779, 678, 44]-code) | [i] | ✔ | |
| 37 | Linear OA(27102, 781, F27, 43) (dual of [781, 679, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(27103, 783, F27, 43) (dual of [783, 680, 44]-code) | [i] | ✔ | |
| 39 | Linear OA(27104, 786, F27, 43) (dual of [786, 682, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(27105, 789, F27, 43) (dual of [789, 684, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(27106, 792, F27, 43) (dual of [792, 686, 44]-code) | [i] | ✔ | |