Information on Result #696537
Linear OA(32105, 1048576, F32, 27) (dual of [1048576, 1048471, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(32105, 599348, F32, 2, 27) (dual of [(599348, 2), 1198591, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (78, 105, 599348)-net over F32 | [i] | ||
| 3 | Linear OA(32109, 1048580, F32, 28) (dual of [1048580, 1048471, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(32105, 1048580, F32, 27) (dual of [1048580, 1048475, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(32107, 1048590, F32, 27) (dual of [1048590, 1048483, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(32109, 1048600, F32, 27) (dual of [1048600, 1048491, 28]-code) | [i] | ✔ | |
| 7 | Linear OOA(32105, 80659, F32, 27, 27) (dual of [(80659, 27), 2177688, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |