Information on Result #696556
Linear OA(3257, 1048580, F32, 15) (dual of [1048580, 1048523, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- 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 [i]
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(3264, 1048613, F32, 15) (dual of [1048613, 1048549, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3265, 1048624, F32, 15) (dual of [1048624, 1048559, 16]-code) | [i] | ||
| 3 | Linear OA(3266, 1048626, F32, 15) (dual of [1048626, 1048560, 16]-code) | [i] | ||
| 4 | Linear OA(3267, 1048646, F32, 15) (dual of [1048646, 1048579, 16]-code) | [i] | ||
| 5 | Linear OA(3268, 1048675, F32, 15) (dual of [1048675, 1048607, 16]-code) | [i] | ||
| 6 | Linear OA(3269, 1048679, F32, 15) (dual of [1048679, 1048610, 16]-code) | [i] | ||
| 7 | Linear OA(3270, 1049607, F32, 15) (dual of [1049607, 1049537, 16]-code) | [i] | ||
| 8 | Linear OOA(3257, 524290, F32, 2, 15) (dual of [(524290, 2), 1048523, 16]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3257, 149797, F32, 15, 15) (dual of [(149797, 15), 2246898, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |