Information on Result #618140
Linear OA(3261, 1048576, F32, 16) (dual of [1048576, 1048515, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(3269, 1048609, F32, 16) (dual of [1048609, 1048540, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3270, 1048620, F32, 16) (dual of [1048620, 1048550, 17]-code) | [i] | ||
| 3 | Linear OA(3271, 1048622, F32, 16) (dual of [1048622, 1048551, 17]-code) | [i] | ||
| 4 | Linear OA(3272, 1048640, F32, 16) (dual of [1048640, 1048568, 17]-code) | [i] | ||
| 5 | Linear OA(3273, 1048642, F32, 16) (dual of [1048642, 1048569, 17]-code) | [i] | ||
| 6 | Linear OA(3274, 1048670, F32, 16) (dual of [1048670, 1048596, 17]-code) | [i] | ||
| 7 | Linear OA(3275, 1048675, F32, 16) (dual of [1048675, 1048600, 17]-code) | [i] | ||
| 8 | Linear OA(3275, 1048591, F32, 16) (dual of [1048591, 1048516, 17]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OOA(3261, 550470, F32, 2, 16) (dual of [(550470, 2), 1100879, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Digital (45, 61, 550470)-net over F32 | [i] | ||
| 11 | Linear OA(3272, 1048588, F32, 16) (dual of [1048588, 1048516, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(3273, 1048590, F32, 16) (dual of [1048590, 1048517, 17]-code) | [i] | ||
| 13 | Linear OA(3274, 1048642, F32, 16) (dual of [1048642, 1048568, 17]-code) | [i] | ||
| 14 | Linear OA(3275, 1048653, F32, 16) (dual of [1048653, 1048578, 17]-code) | [i] | ||
| 15 | Linear OA(3265, 1048580, F32, 17) (dual of [1048580, 1048515, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(3261, 1048580, F32, 16) (dual of [1048580, 1048519, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(3270, 1048585, F32, 18) (dual of [1048585, 1048515, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(3262, 1048585, F32, 16) (dual of [1048585, 1048523, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(3275, 1048590, F32, 19) (dual of [1048590, 1048515, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(3263, 1048590, F32, 16) (dual of [1048590, 1048527, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(3280, 1048595, F32, 20) (dual of [1048595, 1048515, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(3264, 1048595, F32, 16) (dual of [1048595, 1048531, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(3285, 1048600, F32, 21) (dual of [1048600, 1048515, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(3265, 1048600, F32, 16) (dual of [1048600, 1048535, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(3290, 1048605, F32, 22) (dual of [1048605, 1048515, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(3266, 1048605, F32, 16) (dual of [1048605, 1048539, 17]-code) | [i] | ✔ | |
| 27 | Linear OA(3295, 1048609, F32, 23) (dual of [1048609, 1048514, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(3296, 1048611, F32, 23) (dual of [1048611, 1048515, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(3267, 1048609, F32, 16) (dual of [1048609, 1048542, 17]-code) | [i] | ✔ | |
| 30 | Linear OA(3268, 1048611, F32, 16) (dual of [1048611, 1048543, 17]-code) | [i] | ✔ | |
| 31 | Linear OA(32101, 1048616, F32, 24) (dual of [1048616, 1048515, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(3269, 1048616, F32, 16) (dual of [1048616, 1048547, 17]-code) | [i] | ✔ | |
| 33 | Linear OA(32106, 1048620, F32, 25) (dual of [1048620, 1048514, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(32107, 1048622, F32, 25) (dual of [1048622, 1048515, 26]-code) | [i] | ✔ | |
| 35 | Linear OOA(3261, 131072, F32, 16, 16) (dual of [(131072, 16), 2097091, 17]-NRT-code) | [i] | OA Folding and Stacking | |