Information on Result #725774

Linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24

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(2756, 763, F27, 23) (dual of [763, 707, 24]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2780, 780, F27, 33) (dual of [780, 700, 34]-code) [i]✔
3Linear OA(2747, 732, F27, 24) (dual of [732, 685, 25]-code) [i]✔
4Linear OA(2779, 777, F27, 33) (dual of [777, 698, 34]-code) [i]✔
5Linear OA(2784, 784, F27, 34) (dual of [784, 700, 35]-code) [i]✔
6Linear OA(2783, 782, F27, 34) (dual of [782, 699, 35]-code) [i]✔
7Linear OA(2778, 774, F27, 33) (dual of [774, 696, 34]-code) [i]✔
8Linear OA(2782, 779, F27, 34) (dual of [779, 697, 35]-code) [i]✔
9Linear OA(2786, 782, F27, 35) (dual of [782, 696, 36]-code) [i]✔
10Linear OA(2753, 738, F27, 26) (dual of [738, 685, 27]-code) [i]✔
11Linear OA(2781, 776, F27, 34) (dual of [776, 695, 35]-code) [i]✔
12Linear OA(2780, 773, F27, 34) (dual of [773, 693, 35]-code) [i]✔
13Linear OA(2749, 732, F27, 25) (dual of [732, 683, 26]-code) [i]✔
14Linear OA(2752, 735, F27, 26) (dual of [735, 683, 27]-code) [i]✔
15Linear OA(2755, 738, F27, 27) (dual of [738, 683, 28]-code) [i]✔