Information on Result #3242492
Digital (35, 41, large)-net over F32, using t-expansion based on digital (34, 41, large)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 349526)-net over F32, using
- s-reduction based on digital (0, 0, s)-net over F32 for arbitrarily large s, using
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 0, 349526)-net over F32 (see above)
- digital (0, 1, 349526)-net over F32, using
- s-reduction based on digital (0, 1, s)-net over F32 for arbitrarily large s, using
- digital (0, 1, 349526)-net over F32 (see above)
- digital (0, 1, 349526)-net over F32 (see above)
- digital (0, 1, 349526)-net over F32 (see above)
- digital (3, 5, 349526)-net over F32, using
- s-reduction based on digital (3, 5, 1082401)-net over F32, using
- digital (4, 7, 349526)-net over F32, using
- s-reduction based on digital (4, 7, 1050624)-net over F32, using
- net defined by OOA [i] based on linear OOA(327, 1050624, F32, 3, 3) (dual of [(1050624, 3), 3151865, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(327, 1050624, F32, 2, 3) (dual of [(1050624, 2), 2101241, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(327, 1050624, F32, 3, 3) (dual of [(1050624, 3), 3151865, 4]-NRT-code), using
- s-reduction based on digital (4, 7, 1050624)-net over F32, using
- digital (18, 25, 349526)-net over F32, using
- net defined by OOA [i] based on linear OOA(3225, 349526, F32, 7, 7) (dual of [(349526, 7), 2446657, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3225, 1048579, F32, 7) (dual of [1048579, 1048554, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3225, 1048580, F32, 7) (dual of [1048580, 1048555, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3225, 1048576, F32, 7) (dual of [1048576, 1048551, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(3225, 1048580, F32, 7) (dual of [1048580, 1048555, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3225, 1048579, F32, 7) (dual of [1048579, 1048554, 8]-code), using
- net defined by OOA [i] based on linear OOA(3225, 349526, F32, 7, 7) (dual of [(349526, 7), 2446657, 8]-NRT-code), using
- digital (0, 0, 349526)-net over F32, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.