Information on Result #691527
Linear OA(1681, 1048577, F16, 17) (dual of [1048577, 1048496, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1692, 1048588, F16, 19) (dual of [1048588, 1048496, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1682, 1048588, F16, 17) (dual of [1048588, 1048506, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(16104, 1048595, F16, 21) (dual of [1048595, 1048491, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(16105, 1048601, F16, 21) (dual of [1048601, 1048496, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(1684, 1048595, F16, 17) (dual of [1048595, 1048511, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(1685, 1048601, F16, 17) (dual of [1048601, 1048516, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(16118, 1048614, F16, 23) (dual of [1048614, 1048496, 24]-code) | [i] | ✔ | |