Information on Result #696549

Linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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:

ResultThis
result
only		Method
1Linear OOA(3273, 548694, F32, 2, 19) (dual of [(548694, 2), 1097315, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (54, 73, 548694)-net over F32 [i]
3Linear OA(3277, 1048580, F32, 20) (dual of [1048580, 1048503, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3273, 1048580, F32, 19) (dual of [1048580, 1048507, 20]-code) [i]✔
5Linear OA(3287, 1048590, F32, 22) (dual of [1048590, 1048503, 23]-code) [i]✔
6Linear OA(3275, 1048590, F32, 19) (dual of [1048590, 1048515, 20]-code) [i]✔
7Linear OA(3297, 1048600, F32, 24) (dual of [1048600, 1048503, 25]-code) [i]✔
8Linear OA(3277, 1048600, F32, 19) (dual of [1048600, 1048523, 20]-code) [i]✔
9Linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 27]-code) [i]✔
10Linear OA(32108, 1048611, F32, 26) (dual of [1048611, 1048503, 27]-code) [i]✔
11Linear OA(3279, 1048609, F32, 19) (dual of [1048609, 1048530, 20]-code) [i]✔
12Linear OA(3280, 1048611, F32, 19) (dual of [1048611, 1048531, 20]-code) [i]✔
13Linear OA(3282, 1048620, F32, 19) (dual of [1048620, 1048538, 20]-code) [i]✔
14Linear OA(3283, 1048622, F32, 19) (dual of [1048622, 1048539, 20]-code) [i]✔
15Linear OOA(3273, 116508, F32, 19, 19) (dual of [(116508, 19), 2213579, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row