Information on Result #721243
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 = {13,14,…,20}, and designed minimum distance d ≥ |I|+1 = 9
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1659, 4147, F16, 17) (dual of [4147, 4088, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1689, 1048627, F16, 17) (dual of [1048627, 1048538, 18]-code) | [i] | ||
| 3 | Linear OA(1613, 53, F16, 8) (dual of [53, 40, 9]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(16124, 1048627, F16, 24) (dual of [1048627, 1048503, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(16119, 1048627, F16, 23) (dual of [1048627, 1048508, 24]-code) | [i] | ||
| 6 | Linear OA(16114, 1048627, F16, 22) (dual of [1048627, 1048513, 23]-code) | [i] | ||
| 7 | Linear OA(16109, 1048627, F16, 21) (dual of [1048627, 1048518, 22]-code) | [i] | ||
| 8 | Linear OA(16104, 1048627, F16, 20) (dual of [1048627, 1048523, 21]-code) | [i] | ||
| 9 | Linear OA(1699, 1048627, F16, 19) (dual of [1048627, 1048528, 20]-code) | [i] | ||
| 10 | Linear OA(1694, 1048627, F16, 18) (dual of [1048627, 1048533, 19]-code) | [i] | ||