Information on Result #725936

Linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,28}, and designed minimum distance d ≥ |I|+1 = 23

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, 771, F27, 28) (dual of [771, 703, 29]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2769, 771, F27, 29) (dual of [771, 702, 30]-code) [i]✔
3Linear OA(2762, 747, F27, 30) (dual of [747, 685, 31]-code) [i]✔
4Linear OA(2765, 750, F27, 31) (dual of [750, 685, 32]-code) [i]✔
5Linear OA(2768, 753, F27, 32) (dual of [753, 685, 33]-code) [i]✔
6Linear OA(2771, 756, F27, 33) (dual of [756, 685, 34]-code) [i]✔
7Linear OA(2774, 758, F27, 34) (dual of [758, 684, 35]-code) [i]✔
8Linear OA(2774, 759, F27, 34) (dual of [759, 685, 35]-code) [i]✔
9Linear OA(2777, 761, F27, 35) (dual of [761, 684, 36]-code) [i]✔
10Linear OA(2777, 762, F27, 35) (dual of [762, 685, 36]-code) [i]✔
11Linear OA(2780, 764, F27, 36) (dual of [764, 684, 37]-code) [i]✔
12Linear OA(2780, 765, F27, 36) (dual of [765, 685, 37]-code) [i]✔
13Linear OA(2783, 767, F27, 37) (dual of [767, 684, 38]-code) [i]✔
14Linear OA(2783, 768, F27, 37) (dual of [768, 685, 38]-code) [i]✔
15Linear OA(2786, 770, F27, 38) (dual of [770, 684, 39]-code) [i]✔
16Linear OA(2789, 770, F27, 39) (dual of [770, 681, 40]-code) [i]✔
17Linear OA(2786, 771, F27, 38) (dual of [771, 685, 39]-code) [i]✔
18Linear OA(2789, 773, F27, 39) (dual of [773, 684, 40]-code) [i]✔
19Linear OA(2792, 773, F27, 40) (dual of [773, 681, 41]-code) [i]✔
20Linear OA(2789, 774, F27, 39) (dual of [774, 685, 40]-code) [i]✔
21Linear OA(2792, 776, F27, 40) (dual of [776, 684, 41]-code) [i]✔
22Linear OA(2795, 776, F27, 41) (dual of [776, 681, 42]-code) [i]✔
23Linear OA(2792, 777, F27, 40) (dual of [777, 685, 41]-code) [i]✔
24Linear OA(2795, 779, F27, 41) (dual of [779, 684, 42]-code) [i]✔
25Linear OA(2798, 779, F27, 42) (dual of [779, 681, 43]-code) [i]✔
26Linear OA(2795, 780, F27, 41) (dual of [780, 685, 42]-code) [i]✔
27Linear OA(2798, 782, F27, 42) (dual of [782, 684, 43]-code) [i]✔
28Linear OA(27101, 782, F27, 43) (dual of [782, 681, 44]-code) [i]✔
29Linear OA(27104, 782, F27, 44) (dual of [782, 678, 45]-code) [i]✔
30Linear OA(27103, 788, F27, 43) (dual of [788, 685, 44]-code) [i]✔
31Linear OA(27106, 788, F27, 44) (dual of [788, 682, 45]-code) [i]✔