Information on Result #726483

Linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40

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(2796, 788, F27, 39) (dual of [788, 692, 40]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2795, 788, F27, 39) (dual of [788, 693, 40]-code) [i]✔
3Linear OA(27108, 780, F27, 48) (dual of [780, 672, 49]-code) [i]✔
4Linear OA(2776, 732, F27, 40) (dual of [732, 656, 41]-code) [i]✔
5Linear OA(27107, 777, F27, 48) (dual of [777, 670, 49]-code) [i]✔
6Linear OA(2779, 735, F27, 41) (dual of [735, 656, 42]-code) [i]✔
7Linear OA(27110, 779, F27, 49) (dual of [779, 669, 50]-code) [i]✔
8Linear OA(27106, 774, F27, 48) (dual of [774, 668, 49]-code) [i]✔
9Linear OA(2782, 738, F27, 42) (dual of [738, 656, 43]-code) [i]✔
10Linear OA(27109, 776, F27, 49) (dual of [776, 667, 50]-code) [i]✔
11Linear OA(27105, 771, F27, 48) (dual of [771, 666, 49]-code) [i]✔
12Linear OA(2785, 741, F27, 43) (dual of [741, 656, 44]-code) [i]✔
13Linear OA(27108, 773, F27, 49) (dual of [773, 665, 50]-code) [i]✔
14Linear OA(27104, 768, F27, 48) (dual of [768, 664, 49]-code) [i]✔
15Linear OA(2788, 744, F27, 44) (dual of [744, 656, 45]-code) [i]✔
16Linear OA(27107, 770, F27, 49) (dual of [770, 663, 50]-code) [i]✔
17Linear OA(27103, 765, F27, 48) (dual of [765, 662, 49]-code) [i]✔
18Linear OA(2791, 747, F27, 45) (dual of [747, 656, 46]-code) [i]✔
19Linear OA(27110, 770, F27, 50) (dual of [770, 660, 51]-code) [i]✔
20Linear OA(27106, 767, F27, 49) (dual of [767, 661, 50]-code) [i]✔
21Linear OA(27102, 762, F27, 48) (dual of [762, 660, 49]-code) [i]✔
22Linear OA(2794, 750, F27, 46) (dual of [750, 656, 47]-code) [i]✔
23Linear OA(27105, 764, F27, 49) (dual of [764, 659, 50]-code) [i]✔
24Linear OA(27101, 759, F27, 48) (dual of [759, 658, 49]-code) [i]✔
25Linear OA(2797, 753, F27, 47) (dual of [753, 656, 48]-code) [i]✔
26Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) [i]✔
27Linear OA(27100, 756, F27, 48) (dual of [756, 656, 49]-code) [i]✔
28Linear OA(27103, 758, F27, 49) (dual of [758, 655, 50]-code) [i]✔
29Linear OA(2778, 732, F27, 41) (dual of [732, 654, 42]-code) [i]✔
30Linear OA(2781, 735, F27, 42) (dual of [735, 654, 43]-code) [i]✔
31Linear OA(2784, 738, F27, 43) (dual of [738, 654, 44]-code) [i]✔
32Linear OA(2787, 741, F27, 44) (dual of [741, 654, 45]-code) [i]✔
33Linear OA(2790, 744, F27, 45) (dual of [744, 654, 46]-code) [i]✔
34Linear OA(2793, 747, F27, 46) (dual of [747, 654, 47]-code) [i]✔
35Linear OA(2796, 750, F27, 47) (dual of [750, 654, 48]-code) [i]✔
36Linear OA(2799, 753, F27, 48) (dual of [753, 654, 49]-code) [i]✔
37Linear OA(27102, 756, F27, 49) (dual of [756, 654, 50]-code) [i]✔
38Linear OA(27105, 758, F27, 50) (dual of [758, 653, 51]-code) [i]✔
39Linear OA(27105, 759, F27, 50) (dual of [759, 654, 51]-code) [i]✔
40Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) [i]✔
41Linear OA(27108, 762, F27, 51) (dual of [762, 654, 52]-code) [i]✔