Information on Result #618075
Linear OA(3237, 1048576, F32, 10) (dual of [1048576, 1048539, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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 OA(3242, 1048609, F32, 10) (dual of [1048609, 1048567, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3243, 1048620, F32, 10) (dual of [1048620, 1048577, 11]-code) | [i] | ||
| 3 | Linear OA(3244, 1049569, F32, 10) (dual of [1049569, 1049525, 11]-code) | [i] | ||
| 4 | Linear OA(3245, 1048585, F32, 10) (dual of [1048585, 1048540, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OOA(3237, 720280, F32, 2, 10) (dual of [(720280, 2), 1440523, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (27, 37, 720280)-net over F32 | [i] | ||
| 7 | Linear OA(3244, 1048584, F32, 10) (dual of [1048584, 1048540, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(3245, 1048642, F32, 10) (dual of [1048642, 1048597, 11]-code) | [i] | ||
| 9 | Linear OA(3241, 1048580, F32, 11) (dual of [1048580, 1048539, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(3237, 1048580, F32, 10) (dual of [1048580, 1048543, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(3246, 1048585, F32, 12) (dual of [1048585, 1048539, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(3238, 1048585, F32, 10) (dual of [1048585, 1048547, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(3251, 1048590, F32, 13) (dual of [1048590, 1048539, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(3239, 1048590, F32, 10) (dual of [1048590, 1048551, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(3256, 1048595, F32, 14) (dual of [1048595, 1048539, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(3240, 1048595, F32, 10) (dual of [1048595, 1048555, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(3261, 1048600, F32, 15) (dual of [1048600, 1048539, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(3241, 1048600, F32, 10) (dual of [1048600, 1048559, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(3266, 1048605, F32, 16) (dual of [1048605, 1048539, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(3271, 1048609, F32, 17) (dual of [1048609, 1048538, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(3272, 1048611, F32, 17) (dual of [1048611, 1048539, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(3277, 1048616, F32, 18) (dual of [1048616, 1048539, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(3282, 1048620, F32, 19) (dual of [1048620, 1048538, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(3283, 1048622, F32, 19) (dual of [1048622, 1048539, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(3289, 1048628, F32, 20) (dual of [1048628, 1048539, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(3250, 1048590, F32, 12) (dual of [1048590, 1048540, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |