Information on Result #695363

Linear OA(2773, 730, F27, 37) (dual of [730, 657, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2778, 735, F27, 39) (dual of [735, 657, 40]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2774, 735, F27, 37) (dual of [735, 661, 38]-code) [i]✔
3Linear OA(2784, 741, F27, 41) (dual of [741, 657, 42]-code) [i]✔
4Linear OA(2776, 741, F27, 37) (dual of [741, 665, 38]-code) [i]✔
5Linear OA(2790, 747, F27, 43) (dual of [747, 657, 44]-code) [i]✔
6Linear OA(2778, 747, F27, 37) (dual of [747, 669, 38]-code) [i]✔
7Linear OA(2796, 753, F27, 45) (dual of [753, 657, 46]-code) [i]✔
8Linear OA(2780, 753, F27, 37) (dual of [753, 673, 38]-code) [i]✔
9Linear OA(27102, 758, F27, 47) (dual of [758, 656, 48]-code) [i]✔
10Linear OA(27103, 760, F27, 47) (dual of [760, 657, 48]-code) [i]✔
11Linear OA(27101, 758, F27, 46) (dual of [758, 657, 47]-code) [i]✔
12Linear OA(2782, 758, F27, 37) (dual of [758, 676, 38]-code) [i]✔
13Linear OA(2783, 760, F27, 37) (dual of [760, 677, 38]-code) [i]✔
14Linear OA(2781, 758, F27, 36) (dual of [758, 677, 37]-code) [i]✔
15Linear OA(27109, 766, F27, 49) (dual of [766, 657, 50]-code) [i]✔
16Linear OA(2785, 766, F27, 37) (dual of [766, 681, 38]-code) [i]✔
17Linear OA(2788, 773, F27, 37) (dual of [773, 685, 38]-code) [i]✔
18Linear OA(2786, 768, F27, 36) (dual of [768, 682, 37]-code) [i]✔
19Linear OA(2790, 778, F27, 37) (dual of [778, 688, 38]-code) [i]✔