Information on Result #696555
Linear OA(3257, 1048576, F32, 15) (dual of [1048576, 1048519, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(3257, 556882, F32, 2, 15) (dual of [(556882, 2), 1113707, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (42, 57, 556882)-net over F32 | [i] | ||
| 3 | Linear OA(3261, 1048580, F32, 16) (dual of [1048580, 1048519, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3257, 1048580, F32, 15) (dual of [1048580, 1048523, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(3271, 1048590, F32, 18) (dual of [1048590, 1048519, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3259, 1048590, F32, 15) (dual of [1048590, 1048531, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(3281, 1048600, F32, 20) (dual of [1048600, 1048519, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(3261, 1048600, F32, 15) (dual of [1048600, 1048539, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(3291, 1048609, F32, 22) (dual of [1048609, 1048518, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3292, 1048611, F32, 22) (dual of [1048611, 1048519, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(3263, 1048609, F32, 15) (dual of [1048609, 1048546, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(3264, 1048611, F32, 15) (dual of [1048611, 1048547, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(32102, 1048620, F32, 24) (dual of [1048620, 1048518, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(32103, 1048622, F32, 24) (dual of [1048622, 1048519, 25]-code) | [i] | ✔ | |