Information on Result #726077

Linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,28}, and designed minimum distance d ≥ |I|+1 = 32

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2770, 758, F27, 32) (dual of [758, 688, 33]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2769, 756, F27, 32) (dual of [756, 687, 33]-code) [i]
3Linear OA(2773, 761, F27, 33) (dual of [761, 688, 34]-code) [i]
4Linear OA(2768, 753, F27, 32) (dual of [753, 685, 33]-code) [i]
5Linear OA(2772, 759, F27, 33) (dual of [759, 687, 34]-code) [i]
6Linear OA(2776, 764, F27, 34) (dual of [764, 688, 35]-code) [i]
7Linear OA(2767, 750, F27, 32) (dual of [750, 683, 33]-code) [i]
8Linear OA(2775, 762, F27, 34) (dual of [762, 687, 35]-code) [i]
9Linear OA(2779, 767, F27, 35) (dual of [767, 688, 36]-code) [i]
10Linear OA(2783, 770, F27, 36) (dual of [770, 687, 37]-code) [i]
11Linear OA(2766, 747, F27, 32) (dual of [747, 681, 33]-code) [i]
12Linear OA(2778, 765, F27, 35) (dual of [765, 687, 36]-code) [i]
13Linear OA(2782, 770, F27, 36) (dual of [770, 688, 37]-code) [i]
14Linear OA(2786, 773, F27, 37) (dual of [773, 687, 38]-code) [i]
15Linear OA(2765, 744, F27, 32) (dual of [744, 679, 33]-code) [i]
16Linear OA(2781, 768, F27, 36) (dual of [768, 687, 37]-code) [i]
17Linear OA(2785, 773, F27, 37) (dual of [773, 688, 38]-code) [i]
18Linear OA(2789, 776, F27, 38) (dual of [776, 687, 39]-code) [i]
19Linear OA(2764, 741, F27, 32) (dual of [741, 677, 33]-code) [i]
20Linear OA(2784, 771, F27, 37) (dual of [771, 687, 38]-code) [i]
21Linear OA(2788, 776, F27, 38) (dual of [776, 688, 39]-code) [i]
22Linear OA(2792, 779, F27, 39) (dual of [779, 687, 40]-code) [i]
23Linear OA(2796, 782, F27, 40) (dual of [782, 686, 41]-code) [i]
24Linear OA(2787, 774, F27, 38) (dual of [774, 687, 39]-code) [i]
25Linear OA(2791, 779, F27, 39) (dual of [779, 688, 40]-code) [i]
26Linear OA(2795, 782, F27, 40) (dual of [782, 687, 41]-code) [i]
27Linear OA(2790, 777, F27, 39) (dual of [777, 687, 40]-code) [i]
28Linear OA(2794, 782, F27, 40) (dual of [782, 688, 41]-code) [i]
29Linear OA(27100, 788, F27, 41) (dual of [788, 688, 42]-code) [i]
30Linear OA(2761, 735, F27, 32) (dual of [735, 674, 33]-code) [i]
31Linear OA(2793, 780, F27, 40) (dual of [780, 687, 41]-code) [i]
32Linear OA(2799, 788, F27, 41) (dual of [788, 689, 42]-code) [i]