Information on Result #691525
Linear OA(1691, 1048577, F16, 19) (dual of [1048577, 1048486, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(16102, 1048588, F16, 21) (dual of [1048588, 1048486, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1692, 1048588, F16, 19) (dual of [1048588, 1048496, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(16114, 1048595, F16, 23) (dual of [1048595, 1048481, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(16115, 1048601, F16, 23) (dual of [1048601, 1048486, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(1694, 1048595, F16, 19) (dual of [1048595, 1048501, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(1695, 1048601, F16, 19) (dual of [1048601, 1048506, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(16128, 1048614, F16, 25) (dual of [1048614, 1048486, 26]-code) | [i] | ✔ | |