Information on Result #696543
Linear OA(3289, 1048576, F32, 23) (dual of [1048576, 1048487, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(3289, 568091, F32, 2, 23) (dual of [(568091, 2), 1136093, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (66, 89, 568091)-net over F32 | [i] | ||
| 3 | Linear OA(3293, 1048580, F32, 24) (dual of [1048580, 1048487, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3289, 1048580, F32, 23) (dual of [1048580, 1048491, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(32103, 1048590, F32, 26) (dual of [1048590, 1048487, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3291, 1048590, F32, 23) (dual of [1048590, 1048499, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3293, 1048600, F32, 23) (dual of [1048600, 1048507, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(3295, 1048609, F32, 23) (dual of [1048609, 1048514, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3296, 1048611, F32, 23) (dual of [1048611, 1048515, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(3298, 1048620, F32, 23) (dual of [1048620, 1048522, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(3299, 1048622, F32, 23) (dual of [1048622, 1048523, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(32102, 1048633, F32, 23) (dual of [1048633, 1048531, 24]-code) | [i] | ✔ | |
| 13 | Linear OOA(3289, 95325, F32, 23, 23) (dual of [(95325, 23), 2192386, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |