Information on Result #726037

Linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,28}, and designed minimum distance d ≥ |I|+1 = 31

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(2768, 758, F27, 31) (dual of [758, 690, 32]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2767, 756, F27, 31) (dual of [756, 689, 32]-code) [i]
3Linear OA(2771, 761, F27, 32) (dual of [761, 690, 33]-code) [i]
4Linear OA(2766, 753, F27, 31) (dual of [753, 687, 32]-code) [i]
5Linear OA(2770, 759, F27, 32) (dual of [759, 689, 33]-code) [i]
6Linear OA(2774, 764, F27, 33) (dual of [764, 690, 34]-code) [i]
7Linear OA(2765, 750, F27, 31) (dual of [750, 685, 32]-code) [i]
8Linear OA(2773, 762, F27, 33) (dual of [762, 689, 34]-code) [i]
9Linear OA(2777, 767, F27, 34) (dual of [767, 690, 35]-code) [i]
10Linear OA(2781, 770, F27, 35) (dual of [770, 689, 36]-code) [i]
11Linear OA(2764, 747, F27, 31) (dual of [747, 683, 32]-code) [i]
12Linear OA(2776, 765, F27, 34) (dual of [765, 689, 35]-code) [i]
13Linear OA(2780, 770, F27, 35) (dual of [770, 690, 36]-code) [i]
14Linear OA(2784, 773, F27, 36) (dual of [773, 689, 37]-code) [i]
15Linear OA(2763, 744, F27, 31) (dual of [744, 681, 32]-code) [i]
16Linear OA(2779, 768, F27, 35) (dual of [768, 689, 36]-code) [i]
17Linear OA(2783, 773, F27, 36) (dual of [773, 690, 37]-code) [i]
18Linear OA(2787, 776, F27, 37) (dual of [776, 689, 38]-code) [i]
19Linear OA(2762, 741, F27, 31) (dual of [741, 679, 32]-code) [i]
20Linear OA(2782, 771, F27, 36) (dual of [771, 689, 37]-code) [i]
21Linear OA(2786, 776, F27, 37) (dual of [776, 690, 38]-code) [i]
22Linear OA(2790, 779, F27, 38) (dual of [779, 689, 39]-code) [i]
23Linear OA(2794, 782, F27, 39) (dual of [782, 688, 40]-code) [i]
24Linear OA(2761, 738, F27, 31) (dual of [738, 677, 32]-code) [i]
25Linear OA(2785, 774, F27, 37) (dual of [774, 689, 38]-code) [i]
26Linear OA(2789, 779, F27, 38) (dual of [779, 690, 39]-code) [i]
27Linear OA(2793, 782, F27, 39) (dual of [782, 689, 40]-code) [i]
28Linear OA(2788, 777, F27, 38) (dual of [777, 689, 39]-code) [i]
29Linear OA(2792, 782, F27, 39) (dual of [782, 690, 40]-code) [i]
30Linear OA(2798, 788, F27, 40) (dual of [788, 690, 41]-code) [i]
31Linear OA(2791, 780, F27, 39) (dual of [780, 689, 40]-code) [i]
32Linear OA(2797, 788, F27, 40) (dual of [788, 691, 41]-code) [i]
33Linear OA(2758, 732, F27, 31) (dual of [732, 674, 32]-code) [i]