Information on Result #727122

Linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2780, 732, F27, 42) (dual of [732, 652, 43]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2783, 735, F27, 43) (dual of [735, 652, 44]-code) [i]✔
3Linear OA(27110, 774, F27, 50) (dual of [774, 664, 51]-code) [i]✔
4Linear OA(2786, 738, F27, 44) (dual of [738, 652, 45]-code) [i]✔
5Linear OA(27109, 771, F27, 50) (dual of [771, 662, 51]-code) [i]✔
6Linear OA(2789, 741, F27, 45) (dual of [741, 652, 46]-code) [i]✔
7Linear OA(27108, 768, F27, 50) (dual of [768, 660, 51]-code) [i]✔
8Linear OA(2792, 744, F27, 46) (dual of [744, 652, 47]-code) [i]✔
9Linear OA(27107, 765, F27, 50) (dual of [765, 658, 51]-code) [i]✔
10Linear OA(2795, 747, F27, 47) (dual of [747, 652, 48]-code) [i]✔
11Linear OA(27110, 767, F27, 51) (dual of [767, 657, 52]-code) [i]✔
12Linear OA(27106, 762, F27, 50) (dual of [762, 656, 51]-code) [i]✔
13Linear OA(2798, 750, F27, 48) (dual of [750, 652, 49]-code) [i]✔
14Linear OA(27109, 764, F27, 51) (dual of [764, 655, 52]-code) [i]✔
15Linear OA(27105, 759, F27, 50) (dual of [759, 654, 51]-code) [i]✔
16Linear OA(27101, 753, F27, 49) (dual of [753, 652, 50]-code) [i]✔
17Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) [i]✔
18Linear OA(27104, 756, F27, 50) (dual of [756, 652, 51]-code) [i]✔
19Linear OA(27107, 758, F27, 51) (dual of [758, 651, 52]-code) [i]✔
20Linear OA(2782, 732, F27, 43) (dual of [732, 650, 44]-code) [i]✔
21Linear OA(2785, 735, F27, 44) (dual of [735, 650, 45]-code) [i]✔
22Linear OA(2788, 738, F27, 45) (dual of [738, 650, 46]-code) [i]✔
23Linear OA(2791, 741, F27, 46) (dual of [741, 650, 47]-code) [i]✔
24Linear OA(2794, 744, F27, 47) (dual of [744, 650, 48]-code) [i]✔
25Linear OA(2797, 747, F27, 48) (dual of [747, 650, 49]-code) [i]✔
26Linear OA(27100, 750, F27, 49) (dual of [750, 650, 50]-code) [i]✔
27Linear OA(27103, 753, F27, 50) (dual of [753, 650, 51]-code) [i]✔
28Linear OA(27106, 756, F27, 51) (dual of [756, 650, 52]-code) [i]✔
29Linear OA(27109, 758, F27, 52) (dual of [758, 649, 53]-code) [i]✔
30Linear OA(27109, 759, F27, 52) (dual of [759, 650, 53]-code) [i]✔