Information on Result #691584
Linear OA(1631, 1048576, F16, 7) (dual of [1048576, 1048545, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1636, 1048581, F16, 8) (dual of [1048581, 1048545, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1631, 1048581, F16, 7) (dual of [1048581, 1048550, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(1648, 1048593, F16, 10) (dual of [1048593, 1048545, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(1633, 1048593, F16, 7) (dual of [1048593, 1048560, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(1662, 1048607, F16, 12) (dual of [1048607, 1048545, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(1676, 1048621, F16, 14) (dual of [1048621, 1048545, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(1661, 1048602, F16, 12) (dual of [1048602, 1048541, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |