Information on Result #618262
Linear OA(32109, 1048576, F32, 28) (dual of [1048576, 1048467, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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 OOA(32109, 608252, F32, 2, 28) (dual of [(608252, 2), 1216395, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (81, 109, 608252)-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(32110, 1048585, F32, 28) (dual of [1048585, 1048475, 29]-code) | [i] | ✔ | |
| 5 | Linear OOA(32109, 74898, F32, 28, 28) (dual of [(74898, 28), 2097035, 29]-NRT-code) | [i] | OA Folding and Stacking | |