Information on Result #1199234
Digital (37, 50, 174764)-net over F32, using net defined by OOA based on linear OOA(3250, 174764, F32, 13, 13) (dual of [(174764, 13), 2271882, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3250, 1048585, F32, 13) (dual of [1048585, 1048535, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3250, 1048586, F32, 13) (dual of [1048586, 1048536, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(3249, 1048577, F32, 13) (dual of [1048577, 1048528, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(3241, 1048577, F32, 11) (dual of [1048577, 1048536, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3250, 1048586, F32, 13) (dual of [1048586, 1048536, 14]-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 (38, 51, 174764)-net over F32 | [i] | Net Duplication | |
| 2 | Digital (44, 57, 174808)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (95, 108, 5592448)-net over F32 | [i] | Generalized (u, u+v)-Construction for Nets | |