Information on Result #696546
Linear OA(3281, 1048576, F32, 21) (dual of [1048576, 1048495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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 OOA(3281, 556314, F32, 2, 21) (dual of [(556314, 2), 1112547, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (60, 81, 556314)-net over F32 | [i] | ||
| 3 | Linear OA(3285, 1048580, F32, 22) (dual of [1048580, 1048495, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3281, 1048580, F32, 21) (dual of [1048580, 1048499, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(3295, 1048590, F32, 24) (dual of [1048590, 1048495, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3283, 1048590, F32, 21) (dual of [1048590, 1048507, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(32105, 1048600, F32, 26) (dual of [1048600, 1048495, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(3285, 1048600, F32, 21) (dual of [1048600, 1048515, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(3287, 1048609, F32, 21) (dual of [1048609, 1048522, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(3288, 1048611, F32, 21) (dual of [1048611, 1048523, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3290, 1048620, F32, 21) (dual of [1048620, 1048530, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3291, 1048622, F32, 21) (dual of [1048622, 1048531, 22]-code) | [i] | ✔ | |
| 13 | Linear OOA(3281, 104857, F32, 21, 21) (dual of [(104857, 21), 2201916, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |