Information on Result #727250

Linear OA(2790, 728, F27, 47) (dual of [728, 638, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48

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(2792, 732, F27, 48) (dual of [732, 640, 49]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2795, 735, F27, 49) (dual of [735, 640, 50]-code) [i]✔
3Linear OA(2798, 738, F27, 50) (dual of [738, 640, 51]-code) [i]✔
4Linear OA(27101, 741, F27, 51) (dual of [741, 640, 52]-code) [i]✔
5Linear OA(27104, 744, F27, 52) (dual of [744, 640, 53]-code) [i]✔
6Linear OA(27107, 747, F27, 53) (dual of [747, 640, 54]-code) [i]✔
7Linear OA(27110, 750, F27, 54) (dual of [750, 640, 55]-code) [i]✔
8Linear OA(2794, 732, F27, 49) (dual of [732, 638, 50]-code) [i]✔
9Linear OA(2797, 735, F27, 50) (dual of [735, 638, 51]-code) [i]✔
10Linear OA(27100, 738, F27, 51) (dual of [738, 638, 52]-code) [i]✔
11Linear OA(27103, 741, F27, 52) (dual of [741, 638, 53]-code) [i]✔
12Linear OA(27106, 744, F27, 53) (dual of [744, 638, 54]-code) [i]✔
13Linear OA(27109, 747, F27, 54) (dual of [747, 638, 55]-code) [i]✔