Information on Result #725639

Linear OA(2715, 728, F27, 8) (dual of [728, 713, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2717, 732, F27, 9) (dual of [732, 715, 10]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2720, 735, F27, 10) (dual of [735, 715, 11]-code) [i]✔
3Linear OA(2723, 738, F27, 11) (dual of [738, 715, 12]-code) [i]✔
4Linear OA(2726, 741, F27, 12) (dual of [741, 715, 13]-code) [i]✔
5Linear OA(2729, 744, F27, 13) (dual of [744, 715, 14]-code) [i]✔
6Linear OA(2732, 747, F27, 14) (dual of [747, 715, 15]-code) [i]✔
7Linear OA(2735, 750, F27, 15) (dual of [750, 715, 16]-code) [i]✔
8Linear OA(2738, 753, F27, 16) (dual of [753, 715, 17]-code) [i]✔
9Linear OA(2744, 758, F27, 18) (dual of [758, 714, 19]-code) [i]✔
10Linear OA(2719, 732, F27, 10) (dual of [732, 713, 11]-code) [i]✔
11Linear OA(2725, 738, F27, 12) (dual of [738, 713, 13]-code) [i]✔
12Linear OA(2731, 744, F27, 14) (dual of [744, 713, 15]-code) [i]✔
13Linear OA(2737, 750, F27, 16) (dual of [750, 713, 17]-code) [i]✔
14Linear OA(2743, 756, F27, 18) (dual of [756, 713, 19]-code) [i]✔
15Linear OA(2746, 759, F27, 19) (dual of [759, 713, 20]-code) [i]✔
16Linear OA(2749, 761, F27, 20) (dual of [761, 712, 21]-code) [i]✔
17Linear OA(2749, 762, F27, 20) (dual of [762, 713, 21]-code) [i]✔
18Linear OA(2755, 768, F27, 22) (dual of [768, 713, 23]-code) [i]✔