Information on Result #695365

Linear OA(2769, 730, F27, 35) (dual of [730, 661, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(2774, 735, F27, 37) (dual of [735, 661, 38]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2770, 735, F27, 35) (dual of [735, 665, 36]-code) [i]✔
3Linear OA(2780, 741, F27, 39) (dual of [741, 661, 40]-code) [i]✔
4Linear OA(2772, 741, F27, 35) (dual of [741, 669, 36]-code) [i]✔
5Linear OA(2786, 747, F27, 41) (dual of [747, 661, 42]-code) [i]✔
6Linear OA(2774, 747, F27, 35) (dual of [747, 673, 36]-code) [i]✔
7Linear OA(2792, 753, F27, 43) (dual of [753, 661, 44]-code) [i]✔
8Linear OA(2776, 753, F27, 35) (dual of [753, 677, 36]-code) [i]✔
9Linear OA(2798, 758, F27, 45) (dual of [758, 660, 46]-code) [i]✔
10Linear OA(2799, 760, F27, 45) (dual of [760, 661, 46]-code) [i]✔
11Linear OA(2797, 758, F27, 44) (dual of [758, 661, 45]-code) [i]✔
12Linear OA(2778, 758, F27, 35) (dual of [758, 680, 36]-code) [i]✔
13Linear OA(2779, 760, F27, 35) (dual of [760, 681, 36]-code) [i]✔
14Linear OA(2777, 758, F27, 34) (dual of [758, 681, 35]-code) [i]✔
15Linear OA(27105, 766, F27, 47) (dual of [766, 661, 48]-code) [i]✔
16Linear OA(2781, 766, F27, 35) (dual of [766, 685, 36]-code) [i]✔
17Linear OA(27110, 768, F27, 48) (dual of [768, 658, 49]-code) [i]✔
18Linear OA(2784, 773, F27, 35) (dual of [773, 689, 36]-code) [i]✔
19Linear OA(2782, 768, F27, 34) (dual of [768, 686, 35]-code) [i]✔