Information on Result #616185
Linear OA(1616, 1048576, F16, 4) (dual of [1048576, 1048560, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(1618, 1048593, F16, 4) (dual of [1048593, 1048575, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1621, 1048581, F16, 5) (dual of [1048581, 1048560, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(1616, 1048581, F16, 4) (dual of [1048581, 1048565, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(1627, 1048587, F16, 6) (dual of [1048587, 1048560, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(1617, 1048587, F16, 4) (dual of [1048587, 1048570, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(1633, 1048593, F16, 7) (dual of [1048593, 1048560, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(1640, 1048600, F16, 8) (dual of [1048600, 1048560, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(1641, 1048602, F16, 8) (dual of [1048602, 1048561, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(1617, 1048583, F16, 4) (dual of [1048583, 1048566, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(1627, 1048588, F16, 6) (dual of [1048588, 1048561, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(1617, 1048588, F16, 4) (dual of [1048588, 1048571, 5]-code) | [i] | ✔ | |