Information on Result #695359

Linear OA(2781, 730, F27, 41) (dual of [730, 649, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(2786, 735, F27, 43) (dual of [735, 649, 44]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2782, 735, F27, 41) (dual of [735, 653, 42]-code) [i]✔
3Linear OA(2792, 741, F27, 45) (dual of [741, 649, 46]-code) [i]✔
4Linear OA(2784, 741, F27, 41) (dual of [741, 657, 42]-code) [i]✔
5Linear OA(2798, 747, F27, 47) (dual of [747, 649, 48]-code) [i]✔
6Linear OA(2786, 747, F27, 41) (dual of [747, 661, 42]-code) [i]✔
7Linear OA(27104, 753, F27, 49) (dual of [753, 649, 50]-code) [i]✔
8Linear OA(2788, 753, F27, 41) (dual of [753, 665, 42]-code) [i]✔
9Linear OA(27110, 758, F27, 51) (dual of [758, 648, 52]-code) [i]✔
10Linear OA(27109, 758, F27, 50) (dual of [758, 649, 51]-code) [i]✔
11Linear OA(2790, 758, F27, 41) (dual of [758, 668, 42]-code) [i]✔
12Linear OA(2791, 760, F27, 41) (dual of [760, 669, 42]-code) [i]✔
13Linear OA(2789, 758, F27, 40) (dual of [758, 669, 41]-code) [i]✔
14Linear OA(2793, 766, F27, 41) (dual of [766, 673, 42]-code) [i]✔
15Linear OA(2796, 773, F27, 41) (dual of [773, 677, 42]-code) [i]✔
16Linear OA(2794, 768, F27, 40) (dual of [768, 674, 41]-code) [i]✔
17Linear OA(2798, 778, F27, 41) (dual of [778, 680, 42]-code) [i]✔
18Linear OA(2799, 780, F27, 41) (dual of [780, 681, 42]-code) [i]✔
19Linear OA(2797, 778, F27, 40) (dual of [778, 681, 41]-code) [i]✔