Information on Result #617859

Linear OA(2786, 729, F27, 45) (dual of [729, 643, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45

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:

ResultThis
result
only		Method
1Linear OA(27108, 757, F27, 45) (dual of [757, 649, 46]-code) [i](u, u+v)-Construction
2Linear OA(27109, 767, F27, 45) (dual of [767, 658, 46]-code) [i]
3Linear OA(27110, 777, F27, 45) (dual of [777, 667, 46]-code) [i]
4Linear OA(2788, 731, F27, 46) (dual of [731, 643, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(2786, 731, F27, 45) (dual of [731, 645, 46]-code) [i]✔
6Linear OA(2791, 734, F27, 47) (dual of [734, 643, 48]-code) [i]✔
7Linear OA(2787, 734, F27, 45) (dual of [734, 647, 46]-code) [i]✔
8Linear OA(2794, 737, F27, 48) (dual of [737, 643, 49]-code) [i]✔
9Linear OA(2788, 737, F27, 45) (dual of [737, 649, 46]-code) [i]✔
10Linear OA(2797, 740, F27, 49) (dual of [740, 643, 50]-code) [i]✔
11Linear OA(2789, 740, F27, 45) (dual of [740, 651, 46]-code) [i]✔
12Linear OA(27100, 743, F27, 50) (dual of [743, 643, 51]-code) [i]✔
13Linear OA(2790, 743, F27, 45) (dual of [743, 653, 46]-code) [i]✔
14Linear OA(27103, 746, F27, 51) (dual of [746, 643, 52]-code) [i]✔
15Linear OA(2791, 746, F27, 45) (dual of [746, 655, 46]-code) [i]✔
16Linear OA(27106, 749, F27, 52) (dual of [749, 643, 53]-code) [i]✔
17Linear OA(2792, 749, F27, 45) (dual of [749, 657, 46]-code) [i]✔
18Linear OA(27109, 752, F27, 53) (dual of [752, 643, 54]-code) [i]✔
19Linear OA(2793, 752, F27, 45) (dual of [752, 659, 46]-code) [i]✔
20Linear OA(2794, 755, F27, 45) (dual of [755, 661, 46]-code) [i]✔
21Linear OA(2795, 757, F27, 45) (dual of [757, 662, 46]-code) [i]✔
22Linear OA(2796, 759, F27, 45) (dual of [759, 663, 46]-code) [i]✔
23Linear OA(2797, 762, F27, 45) (dual of [762, 665, 46]-code) [i]✔
24Linear OA(2798, 765, F27, 45) (dual of [765, 667, 46]-code) [i]✔
25Linear OA(2799, 767, F27, 45) (dual of [767, 668, 46]-code) [i]✔
26Linear OA(27100, 769, F27, 45) (dual of [769, 669, 46]-code) [i]✔
27Linear OA(27101, 772, F27, 45) (dual of [772, 671, 46]-code) [i]✔
28Linear OA(27102, 775, F27, 45) (dual of [775, 673, 46]-code) [i]✔
29Linear OA(27103, 777, F27, 45) (dual of [777, 674, 46]-code) [i]✔
30Linear OA(27104, 779, F27, 45) (dual of [779, 675, 46]-code) [i]✔
31Linear OA(27105, 781, F27, 45) (dual of [781, 676, 46]-code) [i]✔
32Linear OA(27108, 786, F27, 45) (dual of [786, 678, 46]-code) [i]✔
33Linear OA(27109, 789, F27, 45) (dual of [789, 680, 46]-code) [i]✔
34Linear OA(27110, 792, F27, 45) (dual of [792, 682, 46]-code) [i]✔