Information on Result #617500

Linear OA(2729, 730, F27, 15) (dual of [730, 701, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(2736, 758, F27, 15) (dual of [758, 722, 16]-code) [i](u, u+v)-Construction
2Linear OA(2737, 768, F27, 15) (dual of [768, 731, 16]-code) [i]
3Linear OA(2738, 778, F27, 15) (dual of [778, 740, 16]-code) [i]
4Linear OA(2739, 786, F27, 15) (dual of [786, 747, 16]-code) [i]
5Linear OA(2740, 794, F27, 15) (dual of [794, 754, 16]-code) [i]
6Linear OA(2741, 835, F27, 15) (dual of [835, 794, 16]-code) [i]
7Linear OA(2740, 796, F27, 15) (dual of [796, 756, 16]-code) [i]
8Linear OA(2741, 786, F27, 15) (dual of [786, 745, 16]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(2736, 738, F27, 15) (dual of [738, 702, 16]-code) [i]✔Construction X with Cyclic Codes
10Linear OA(2734, 735, F27, 17) (dual of [735, 701, 18]-code) [i]✔
11Linear OA(2730, 735, F27, 15) (dual of [735, 705, 16]-code) [i]✔
12Linear OA(2740, 741, F27, 19) (dual of [741, 701, 20]-code) [i]✔
13Linear OA(2732, 741, F27, 15) (dual of [741, 709, 16]-code) [i]✔
14Linear OA(2746, 747, F27, 21) (dual of [747, 701, 22]-code) [i]✔
15Linear OA(2734, 747, F27, 15) (dual of [747, 713, 16]-code) [i]✔
16Linear OA(2752, 753, F27, 23) (dual of [753, 701, 24]-code) [i]✔
17Linear OA(2758, 758, F27, 25) (dual of [758, 700, 26]-code) [i]✔
18Linear OA(2759, 760, F27, 25) (dual of [760, 701, 26]-code) [i]✔
19Linear OA(2757, 758, F27, 24) (dual of [758, 701, 25]-code) [i]✔
20Linear OA(2765, 766, F27, 27) (dual of [766, 701, 28]-code) [i]✔