Information on Result #727218

Linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,44], 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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2788, 732, F27, 46) (dual of [732, 644, 47]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2791, 735, F27, 47) (dual of [735, 644, 48]-code) [i]✔
3Linear OA(2794, 738, F27, 48) (dual of [738, 644, 49]-code) [i]✔
4Linear OA(2797, 741, F27, 49) (dual of [741, 644, 50]-code) [i]✔
5Linear OA(27100, 744, F27, 50) (dual of [744, 644, 51]-code) [i]✔
6Linear OA(27103, 747, F27, 51) (dual of [747, 644, 52]-code) [i]✔
7Linear OA(27106, 750, F27, 52) (dual of [750, 644, 53]-code) [i]✔
8Linear OA(27109, 753, F27, 53) (dual of [753, 644, 54]-code) [i]✔
9Linear OA(2790, 732, F27, 47) (dual of [732, 642, 48]-code) [i]✔
10Linear OA(2793, 735, F27, 48) (dual of [735, 642, 49]-code) [i]✔
11Linear OA(2796, 738, F27, 49) (dual of [738, 642, 50]-code) [i]✔
12Linear OA(2799, 741, F27, 50) (dual of [741, 642, 51]-code) [i]✔
13Linear OA(27102, 744, F27, 51) (dual of [744, 642, 52]-code) [i]✔
14Linear OA(27105, 747, F27, 52) (dual of [747, 642, 53]-code) [i]✔
15Linear OA(27108, 750, F27, 53) (dual of [750, 642, 54]-code) [i]✔