Information on Result #1201014
Digital (9, 18, 1025)-net over F64, using net defined by OOA based on linear OOA(6418, 1025, F64, 9, 9) (dual of [(1025, 9), 9207, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(6418, 4101, F64, 9) (dual of [4101, 4083, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(6418, 4102, F64, 9) (dual of [4102, 4084, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(6413, 4097, F64, 7) (dual of [4097, 4084, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6418, 4102, F64, 9) (dual of [4102, 4084, 10]-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 (10, 19, 1025)-net over F64 | [i] | Net Duplication | |
| 2 | Digital (69, 87, 933092)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (72, 91, 933091)-net over F64 | [i] | ||