Information on Result #1199356
Digital (15, 30, 147)-net over F32, using net defined by OOA based on linear OOA(3230, 147, F32, 15, 15) (dual of [(147, 15), 2175, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3230, 1030, F32, 15) (dual of [1030, 1000, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3229, 1025, F32, 15) (dual of [1025, 996, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3225, 1025, F32, 13) (dual of [1025, 1000, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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([0,7]) ⊂ C([0,6]) [i] based on
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 (15, 29, 147)-net over F32 | [i] | m-Reduction | |
| 2 | Digital (55, 85, 309)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (55, 86, 309)-net over F32 | [i] | ||
| 4 | Digital (59, 90, 343)-net over F32 | [i] | ||