Information on Result #620800

Linear OA(1613, 51, F16, 8) (dual of [51, 38, 9]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {1,5,9,…,29}, 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(1659, 4147, F16, 17) (dual of [4147, 4088, 18]-code) [i](u, u+v)-Construction
2Linear OA(1689, 1048627, F16, 17) (dual of [1048627, 1048538, 18]-code) [i]
3Linear OA(16124, 1048627, F16, 24) (dual of [1048627, 1048503, 25]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16119, 1048627, F16, 23) (dual of [1048627, 1048508, 24]-code) [i]
5Linear OA(16114, 1048627, F16, 22) (dual of [1048627, 1048513, 23]-code) [i]
6Linear OA(16109, 1048627, F16, 21) (dual of [1048627, 1048518, 22]-code) [i]
7Linear OA(16104, 1048627, F16, 20) (dual of [1048627, 1048523, 21]-code) [i]
8Linear OA(1699, 1048627, F16, 19) (dual of [1048627, 1048528, 20]-code) [i]
9Linear OA(1694, 1048627, F16, 18) (dual of [1048627, 1048533, 19]-code) [i]