Information on Result #725978

Linear OA(2737, 728, F27, 19) (dual of [728, 691, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20

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(2739, 732, F27, 20) (dual of [732, 693, 21]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2745, 738, F27, 22) (dual of [738, 693, 23]-code) [i]✔
3Linear OA(2769, 771, F27, 29) (dual of [771, 702, 30]-code) [i]✔
4Linear OA(2768, 768, F27, 29) (dual of [768, 700, 30]-code) [i]✔
5Linear OA(2772, 773, F27, 30) (dual of [773, 701, 31]-code) [i]✔
6Linear OA(2751, 744, F27, 24) (dual of [744, 693, 25]-code) [i]✔
7Linear OA(2771, 770, F27, 30) (dual of [770, 699, 31]-code) [i]✔
8Linear OA(2757, 750, F27, 26) (dual of [750, 693, 27]-code) [i]✔
9Linear OA(2741, 732, F27, 21) (dual of [732, 691, 22]-code) [i]✔
10Linear OA(2744, 735, F27, 22) (dual of [735, 691, 23]-code) [i]✔
11Linear OA(2747, 738, F27, 23) (dual of [738, 691, 24]-code) [i]✔
12Linear OA(2750, 741, F27, 24) (dual of [741, 691, 25]-code) [i]✔
13Linear OA(2753, 744, F27, 25) (dual of [744, 691, 26]-code) [i]✔
14Linear OA(2756, 747, F27, 26) (dual of [747, 691, 27]-code) [i]✔
15Linear OA(2759, 750, F27, 27) (dual of [750, 691, 28]-code) [i]✔