Information on Result #618098
Linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(3251, 1048609, F32, 12) (dual of [1048609, 1048558, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3252, 1048620, F32, 12) (dual of [1048620, 1048568, 13]-code) | [i] | ||
| 3 | Linear OA(3253, 1048622, F32, 12) (dual of [1048622, 1048569, 13]-code) | [i] | ||
| 4 | Linear OA(3254, 1048640, F32, 12) (dual of [1048640, 1048586, 13]-code) | [i] | ||
| 5 | Linear OA(3255, 1048670, F32, 12) (dual of [1048670, 1048615, 13]-code) | [i] | ||
| 6 | Linear OA(3254, 1048642, F32, 12) (dual of [1048642, 1048588, 13]-code) | [i] | ||
| 7 | Linear OOA(3245, 612733, F32, 2, 12) (dual of [(612733, 2), 1225421, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (33, 45, 612733)-net over F32 | [i] | ||
| 9 | Linear OA(3254, 1048586, F32, 12) (dual of [1048586, 1048532, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(3255, 1048642, F32, 12) (dual of [1048642, 1048587, 13]-code) | [i] | ||
| 11 | Linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(3245, 1048580, F32, 12) (dual of [1048580, 1048535, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(3254, 1048585, F32, 14) (dual of [1048585, 1048531, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(3246, 1048585, F32, 12) (dual of [1048585, 1048539, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(3259, 1048590, F32, 15) (dual of [1048590, 1048531, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(3247, 1048590, F32, 12) (dual of [1048590, 1048543, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(3264, 1048595, F32, 16) (dual of [1048595, 1048531, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(3248, 1048595, F32, 12) (dual of [1048595, 1048547, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(3269, 1048600, F32, 17) (dual of [1048600, 1048531, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(3249, 1048600, F32, 12) (dual of [1048600, 1048551, 13]-code) | [i] | ✔ | |
| 21 | Linear OA(3274, 1048605, F32, 18) (dual of [1048605, 1048531, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(3250, 1048605, F32, 12) (dual of [1048605, 1048555, 13]-code) | [i] | ✔ | |
| 23 | Linear OA(3279, 1048609, F32, 19) (dual of [1048609, 1048530, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(3280, 1048611, F32, 19) (dual of [1048611, 1048531, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(3285, 1048616, F32, 20) (dual of [1048616, 1048531, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(3290, 1048620, F32, 21) (dual of [1048620, 1048530, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(3291, 1048622, F32, 21) (dual of [1048622, 1048531, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(3297, 1048628, F32, 22) (dual of [1048628, 1048531, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(32102, 1048633, F32, 23) (dual of [1048633, 1048531, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(32107, 1048638, F32, 24) (dual of [1048638, 1048531, 25]-code) | [i] | ✔ | |