Information on Result #725999

Linear OA(2735, 728, F27, 18) (dual of [728, 693, 19]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,28}, and designed minimum distance d ≥ |I|+1 = 19

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2766, 758, F27, 30) (dual of [758, 692, 31]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2769, 761, F27, 31) (dual of [761, 692, 32]-code) [i]✔
3Linear OA(2772, 764, F27, 32) (dual of [764, 692, 33]-code) [i]✔
4Linear OA(2775, 767, F27, 33) (dual of [767, 692, 34]-code) [i]✔
5Linear OA(2778, 770, F27, 34) (dual of [770, 692, 35]-code) [i]✔
6Linear OA(2781, 770, F27, 35) (dual of [770, 689, 36]-code) [i]✔
7Linear OA(2781, 773, F27, 35) (dual of [773, 692, 36]-code) [i]✔
8Linear OA(2784, 773, F27, 36) (dual of [773, 689, 37]-code) [i]✔
9Linear OA(2784, 776, F27, 36) (dual of [776, 692, 37]-code) [i]✔
10Linear OA(2787, 776, F27, 37) (dual of [776, 689, 38]-code) [i]✔
11Linear OA(2787, 779, F27, 37) (dual of [779, 692, 38]-code) [i]✔
12Linear OA(2790, 779, F27, 38) (dual of [779, 689, 39]-code) [i]✔
13Linear OA(2790, 782, F27, 38) (dual of [782, 692, 39]-code) [i]✔
14Linear OA(2793, 782, F27, 39) (dual of [782, 689, 40]-code) [i]✔
15Linear OA(2796, 782, F27, 40) (dual of [782, 686, 41]-code) [i]✔
16Linear OA(2795, 788, F27, 39) (dual of [788, 693, 40]-code) [i]✔
17Linear OA(2798, 788, F27, 40) (dual of [788, 690, 41]-code) [i]✔