Information on Result #617864

Linear OA(2788, 729, F27, 46) (dual of [729, 641, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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(2790, 731, F27, 47) (dual of [731, 641, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2788, 731, F27, 46) (dual of [731, 643, 47]-code) [i]✔
3Linear OA(2793, 734, F27, 48) (dual of [734, 641, 49]-code) [i]✔
4Linear OA(2789, 734, F27, 46) (dual of [734, 645, 47]-code) [i]✔
5Linear OA(2796, 737, F27, 49) (dual of [737, 641, 50]-code) [i]✔
6Linear OA(2790, 737, F27, 46) (dual of [737, 647, 47]-code) [i]✔
7Linear OA(2799, 740, F27, 50) (dual of [740, 641, 51]-code) [i]✔
8Linear OA(2791, 740, F27, 46) (dual of [740, 649, 47]-code) [i]✔
9Linear OA(27102, 743, F27, 51) (dual of [743, 641, 52]-code) [i]✔
10Linear OA(2792, 743, F27, 46) (dual of [743, 651, 47]-code) [i]✔
11Linear OA(27105, 746, F27, 52) (dual of [746, 641, 53]-code) [i]✔
12Linear OA(2793, 746, F27, 46) (dual of [746, 653, 47]-code) [i]✔
13Linear OA(27108, 749, F27, 53) (dual of [749, 641, 54]-code) [i]✔
14Linear OA(2794, 749, F27, 46) (dual of [749, 655, 47]-code) [i]✔
15Linear OA(2795, 752, F27, 46) (dual of [752, 657, 47]-code) [i]✔
16Linear OA(2796, 755, F27, 46) (dual of [755, 659, 47]-code) [i]✔
17Linear OA(2797, 757, F27, 46) (dual of [757, 660, 47]-code) [i]✔
18Linear OA(2798, 759, F27, 46) (dual of [759, 661, 47]-code) [i]✔
19Linear OA(2799, 762, F27, 46) (dual of [762, 663, 47]-code) [i]✔
20Linear OA(27100, 765, F27, 46) (dual of [765, 665, 47]-code) [i]✔
21Linear OA(27101, 767, F27, 46) (dual of [767, 666, 47]-code) [i]✔
22Linear OA(27102, 769, F27, 46) (dual of [769, 667, 47]-code) [i]✔
23Linear OA(27103, 772, F27, 46) (dual of [772, 669, 47]-code) [i]✔
24Linear OA(27104, 775, F27, 46) (dual of [775, 671, 47]-code) [i]✔
25Linear OA(27105, 777, F27, 46) (dual of [777, 672, 47]-code) [i]✔
26Linear OA(27106, 779, F27, 46) (dual of [779, 673, 47]-code) [i]✔
27Linear OA(27107, 781, F27, 46) (dual of [781, 674, 47]-code) [i]✔
28Linear OA(27108, 783, F27, 46) (dual of [783, 675, 47]-code) [i]✔
29Linear OA(27109, 785, F27, 46) (dual of [785, 676, 47]-code) [i]✔