Information on Result #616220
Linear OA(1631, 1048577, F16, 7) (dual of [1048577, 1048546, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(1634, 1048595, F16, 7) (dual of [1048595, 1048561, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1635, 1048834, F16, 7) (dual of [1048834, 1048799, 8]-code) | [i] | ||
| 3 | Linear OA(1636, 1049206, F16, 7) (dual of [1049206, 1049170, 8]-code) | [i] | ||
| 4 | Linear OA(1636, 1048612, F16, 7) (dual of [1048612, 1048576, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(1633, 1048580, F16, 7) (dual of [1048580, 1048547, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(1642, 1048588, F16, 9) (dual of [1048588, 1048546, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(1632, 1048588, F16, 7) (dual of [1048588, 1048556, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(1654, 1048595, F16, 11) (dual of [1048595, 1048541, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(1655, 1048601, F16, 11) (dual of [1048601, 1048546, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(1668, 1048614, F16, 13) (dual of [1048614, 1048546, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(1642, 1048589, F16, 9) (dual of [1048589, 1048547, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OA(1632, 1048589, F16, 7) (dual of [1048589, 1048557, 8]-code) | [i] | ✔ | |