Information on Result #695371

Linear OA(2757, 730, F27, 29) (dual of [730, 673, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2762, 735, F27, 31) (dual of [735, 673, 32]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2758, 735, F27, 29) (dual of [735, 677, 30]-code) [i]✔
3Linear OA(2768, 741, F27, 33) (dual of [741, 673, 34]-code) [i]✔
4Linear OA(2760, 741, F27, 29) (dual of [741, 681, 30]-code) [i]✔
5Linear OA(2774, 747, F27, 35) (dual of [747, 673, 36]-code) [i]✔
6Linear OA(2762, 747, F27, 29) (dual of [747, 685, 30]-code) [i]✔
7Linear OA(2780, 753, F27, 37) (dual of [753, 673, 38]-code) [i]✔
8Linear OA(2764, 753, F27, 29) (dual of [753, 689, 30]-code) [i]✔
9Linear OA(2786, 758, F27, 39) (dual of [758, 672, 40]-code) [i]✔
10Linear OA(2787, 760, F27, 39) (dual of [760, 673, 40]-code) [i]✔
11Linear OA(2785, 758, F27, 38) (dual of [758, 673, 39]-code) [i]✔
12Linear OA(2766, 758, F27, 29) (dual of [758, 692, 30]-code) [i]✔
13Linear OA(2767, 760, F27, 29) (dual of [760, 693, 30]-code) [i]✔
14Linear OA(2765, 758, F27, 28) (dual of [758, 693, 29]-code) [i]✔
15Linear OA(2793, 766, F27, 41) (dual of [766, 673, 42]-code) [i]✔
16Linear OA(27100, 773, F27, 43) (dual of [773, 673, 44]-code) [i]✔
17Linear OA(2798, 768, F27, 42) (dual of [768, 670, 43]-code) [i]✔
18Linear OA(27106, 778, F27, 45) (dual of [778, 672, 46]-code) [i]✔
19Linear OA(27107, 780, F27, 45) (dual of [780, 673, 46]-code) [i]✔
20Linear OA(27105, 778, F27, 44) (dual of [778, 673, 45]-code) [i]✔