Information on Result #1224558
Digital (23, 30, 352662)-net over F32, using (u, u+v)-construction based on
- digital (2, 5, 3136)-net over F32, using
- net defined by OOA [i] based on linear OOA(325, 3136, F32, 3, 3) (dual of [(3136, 3), 9403, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(325, 3136, F32, 2, 3) (dual of [(3136, 2), 6267, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(325, 3136, F32, 3, 3) (dual of [(3136, 3), 9403, 4]-NRT-code), 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (82, 96, 1551033)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (86, 101, 1551033)-net over F32 | [i] | ||