Information on Result #705707

Linear OA(3216, 728, F3, 57) (dual of [728, 512, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,363}, and designed minimum distance d ≥ |I|+1 = 58

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(3239, 772, F3, 59) (dual of [772, 533, 60]-code) [i]Construction XX with Cyclic Codes
2Linear OA(3238, 767, F3, 59) (dual of [767, 529, 60]-code) [i]
3Linear OA(3249, 783, F3, 60) (dual of [783, 534, 61]-code) [i]
4Linear OA(3232, 759, F3, 59) (dual of [759, 527, 60]-code) [i]
5Linear OA(3249, 782, F3, 61) (dual of [782, 533, 62]-code) [i]
6Linear OA(3247, 778, F3, 60) (dual of [778, 531, 61]-code) [i]
7Linear OA(3248, 777, F3, 61) (dual of [777, 529, 62]-code) [i]
8Linear OA(3247, 774, F3, 61) (dual of [774, 527, 62]-code) [i]
9Linear OA(3230, 750, F3, 59) (dual of [750, 520, 60]-code) [i]
10Linear OA(3229, 747, F3, 59) (dual of [747, 518, 60]-code) [i]
11Linear OA(3242, 769, F3, 61) (dual of [769, 527, 62]-code) [i]
12Linear OA(3250, 777, F3, 62) (dual of [777, 527, 63]-code) [i]
13Linear OOA(3216, 364, F3, 2, 57) (dual of [(364, 2), 512, 58]-NRT-code) [i]OOA Folding
14Linear OOA(3216, 242, F3, 3, 57) (dual of [(242, 3), 510, 58]-NRT-code) [i]
15Linear OOA(3216, 182, F3, 4, 57) (dual of [(182, 4), 512, 58]-NRT-code) [i]