Information on Result #1199558
Digital (49, 66, 131073)-net over F32, using net defined by OOA based on linear OOA(3266, 131073, F32, 17, 17) (dual of [(131073, 17), 2228175, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3266, 1048585, F32, 17) (dual of [1048585, 1048519, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3266, 1048586, F32, 17) (dual of [1048586, 1048520, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(3257, 1048577, F32, 15) (dual of [1048577, 1048520, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3266, 1048586, F32, 17) (dual of [1048586, 1048520, 18]-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 (50, 67, 131073)-net over F32 | [i] | Net Duplication | |
| 2 | Digital (58, 75, 131117)-net over F32 | [i] | (u, u+v)-Construction for Nets | |