Information on Result #726042

Linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22

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(2743, 732, F27, 22) (dual of [732, 689, 23]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2779, 782, F27, 32) (dual of [782, 703, 33]-code) [i]✔
3Linear OA(2774, 774, F27, 31) (dual of [774, 700, 32]-code) [i]✔
4Linear OA(2778, 779, F27, 32) (dual of [779, 701, 33]-code) [i]✔
5Linear OA(2749, 738, F27, 24) (dual of [738, 689, 25]-code) [i]✔
6Linear OA(2773, 771, F27, 31) (dual of [771, 698, 32]-code) [i]✔
7Linear OA(2777, 776, F27, 32) (dual of [776, 699, 33]-code) [i]✔
8Linear OA(2772, 768, F27, 31) (dual of [768, 696, 32]-code) [i]✔
9Linear OA(2776, 773, F27, 32) (dual of [773, 697, 33]-code) [i]✔
10Linear OA(2755, 744, F27, 26) (dual of [744, 689, 27]-code) [i]✔
11Linear OA(2775, 770, F27, 32) (dual of [770, 695, 33]-code) [i]✔
12Linear OA(2745, 732, F27, 23) (dual of [732, 687, 24]-code) [i]✔
13Linear OA(2748, 735, F27, 24) (dual of [735, 687, 25]-code) [i]✔
14Linear OA(2751, 738, F27, 25) (dual of [738, 687, 26]-code) [i]✔
15Linear OA(2754, 741, F27, 26) (dual of [741, 687, 27]-code) [i]✔
16Linear OA(2757, 744, F27, 27) (dual of [744, 687, 28]-code) [i]✔