Information on Result #618242
Linear OA(32101, 1048576, F32, 26) (dual of [1048576, 1048475, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(32101, 590814, F32, 2, 26) (dual of [(590814, 2), 1181527, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (75, 101, 590814)-net over F32 | [i] | ||
| 3 | Linear OA(32105, 1048580, F32, 27) (dual of [1048580, 1048475, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(32101, 1048580, F32, 26) (dual of [1048580, 1048479, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(32110, 1048585, F32, 28) (dual of [1048585, 1048475, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(32102, 1048585, F32, 26) (dual of [1048585, 1048483, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(32103, 1048590, F32, 26) (dual of [1048590, 1048487, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(32104, 1048595, F32, 26) (dual of [1048595, 1048491, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(32105, 1048600, F32, 26) (dual of [1048600, 1048495, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(32106, 1048605, F32, 26) (dual of [1048605, 1048499, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(32108, 1048611, F32, 26) (dual of [1048611, 1048503, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(32109, 1048616, F32, 26) (dual of [1048616, 1048507, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(32110, 1048620, F32, 26) (dual of [1048620, 1048510, 27]-code) | [i] | ✔ | |