Information on Result #695369

Linear OA(2761, 730, F27, 31) (dual of [730, 669, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(2766, 735, F27, 33) (dual of [735, 669, 34]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2762, 735, F27, 31) (dual of [735, 673, 32]-code) [i]✔
3Linear OA(2772, 741, F27, 35) (dual of [741, 669, 36]-code) [i]✔
4Linear OA(2764, 741, F27, 31) (dual of [741, 677, 32]-code) [i]✔
5Linear OA(2778, 747, F27, 37) (dual of [747, 669, 38]-code) [i]✔
6Linear OA(2766, 747, F27, 31) (dual of [747, 681, 32]-code) [i]✔
7Linear OA(2784, 753, F27, 39) (dual of [753, 669, 40]-code) [i]✔
8Linear OA(2768, 753, F27, 31) (dual of [753, 685, 32]-code) [i]✔
9Linear OA(2790, 758, F27, 41) (dual of [758, 668, 42]-code) [i]✔
10Linear OA(2791, 760, F27, 41) (dual of [760, 669, 42]-code) [i]✔
11Linear OA(2789, 758, F27, 40) (dual of [758, 669, 41]-code) [i]✔
12Linear OA(2770, 758, F27, 31) (dual of [758, 688, 32]-code) [i]✔
13Linear OA(2771, 760, F27, 31) (dual of [760, 689, 32]-code) [i]✔
14Linear OA(2769, 758, F27, 30) (dual of [758, 689, 31]-code) [i]✔
15Linear OA(2797, 766, F27, 43) (dual of [766, 669, 44]-code) [i]✔
16Linear OA(2773, 766, F27, 31) (dual of [766, 693, 32]-code) [i]✔
17Linear OA(27104, 773, F27, 45) (dual of [773, 669, 46]-code) [i]✔
18Linear OA(27102, 768, F27, 44) (dual of [768, 666, 45]-code) [i]✔
19Linear OA(27110, 778, F27, 47) (dual of [778, 668, 48]-code) [i]✔
20Linear OA(27109, 778, F27, 46) (dual of [778, 669, 47]-code) [i]✔