Information on Result #3266059
Digital (40, 54, 149797)-net over F32, using 321 times duplication based on digital (39, 53, 149797)-net over F32, using
- net defined by OOA [i] based on linear OOA(3253, 149797, F32, 14, 14) (dual of [(149797, 14), 2097105, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3253, 1048579, F32, 14) (dual of [1048579, 1048526, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3253, 1048580, F32, 14) (dual of [1048580, 1048527, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3253, 1048580, F32, 14) (dual of [1048580, 1048527, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(3253, 1048579, F32, 14) (dual of [1048579, 1048526, 15]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.