Information on Result #618037
Linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(3224, 1048610, F32, 6) (dual of [1048610, 1048586, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3225, 1049601, F32, 6) (dual of [1049601, 1049576, 7]-code) | [i] | ||
| 3 | Linear OA(3225, 1048580, F32, 7) (dual of [1048580, 1048555, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3221, 1048580, F32, 6) (dual of [1048580, 1048559, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(3230, 1048585, F32, 8) (dual of [1048585, 1048555, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(3222, 1048585, F32, 6) (dual of [1048585, 1048563, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(3235, 1048590, F32, 9) (dual of [1048590, 1048555, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(3223, 1048590, F32, 6) (dual of [1048590, 1048567, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(3240, 1048595, F32, 10) (dual of [1048595, 1048555, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(3245, 1048600, F32, 11) (dual of [1048600, 1048555, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(3250, 1048605, F32, 12) (dual of [1048605, 1048555, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(3230, 1048586, F32, 8) (dual of [1048586, 1048556, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(3222, 1048586, F32, 6) (dual of [1048586, 1048564, 7]-code) | [i] | ✔ | |