Information on Result #725997

Linear OA(2734, 728, F27, 17) (dual of [728, 694, 18]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,27}, and designed minimum distance d ≥ |I|+1 = 18

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(2767, 760, F27, 30) (dual of [760, 693, 31]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2770, 763, F27, 31) (dual of [763, 693, 32]-code) [i]
3Linear OA(2774, 768, F27, 32) (dual of [768, 694, 33]-code) [i]
4Linear OA(2773, 766, F27, 32) (dual of [766, 693, 33]-code) [i]
5Linear OA(2777, 771, F27, 33) (dual of [771, 694, 34]-code) [i]
6Linear OA(2776, 769, F27, 33) (dual of [769, 693, 34]-code) [i]
7Linear OA(2780, 774, F27, 34) (dual of [774, 694, 35]-code) [i]
8Linear OA(2779, 772, F27, 34) (dual of [772, 693, 35]-code) [i]
9Linear OA(2783, 777, F27, 35) (dual of [777, 694, 36]-code) [i]
10Linear OA(2782, 775, F27, 35) (dual of [775, 693, 36]-code) [i]
11Linear OA(2786, 780, F27, 36) (dual of [780, 694, 37]-code) [i]
12Linear OA(2785, 778, F27, 36) (dual of [778, 693, 37]-code) [i]
13Linear OA(2789, 780, F27, 37) (dual of [780, 691, 38]-code) [i]
14Linear OA(2788, 778, F27, 37) (dual of [778, 690, 38]-code) [i]
15Linear OA(2789, 783, F27, 37) (dual of [783, 694, 38]-code) [i]
16Linear OA(2788, 781, F27, 37) (dual of [781, 693, 38]-code) [i]
17Linear OA(2792, 783, F27, 38) (dual of [783, 691, 39]-code) [i]
18Linear OA(2791, 781, F27, 38) (dual of [781, 690, 39]-code) [i]
19Linear OA(2792, 786, F27, 38) (dual of [786, 694, 39]-code) [i]
20Linear OA(2791, 784, F27, 38) (dual of [784, 693, 39]-code) [i]
21Linear OA(2795, 786, F27, 39) (dual of [786, 691, 40]-code) [i]
22Linear OA(2794, 784, F27, 39) (dual of [784, 690, 40]-code) [i]
23Linear OA(2797, 784, F27, 40) (dual of [784, 687, 41]-code) [i]