Information on Result #618022
Linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, 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(3215, 1048609, F32, 4) (dual of [1048609, 1048594, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3213, 1048580, F32, 4) (dual of [1048580, 1048567, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(3222, 1048585, F32, 6) (dual of [1048585, 1048563, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(3214, 1048585, F32, 4) (dual of [1048585, 1048571, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(3227, 1048590, F32, 7) (dual of [1048590, 1048563, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(3232, 1048595, F32, 8) (dual of [1048595, 1048563, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(3214, 1048582, F32, 4) (dual of [1048582, 1048568, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(3222, 1048586, F32, 6) (dual of [1048586, 1048564, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(3214, 1048586, F32, 4) (dual of [1048586, 1048572, 5]-code) | [i] | ✔ | |