Information on Result #1201128
Digital (21, 32, 52430)-net over F64, using net defined by OOA based on linear OOA(6432, 52430, F64, 11, 11) (dual of [(52430, 11), 576698, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(6432, 262151, F64, 11) (dual of [262151, 262119, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6432, 262152, F64, 11) (dual of [262152, 262120, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(6425, 262145, F64, 9) (dual of [262145, 262120, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 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([0,5]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6432, 262152, F64, 11) (dual of [262152, 262120, 12]-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 (22, 33, 52430)-net over F64 | [i] | Net Duplication | |
| 2 | Digital (28, 39, 54446)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (37, 48, 52430)-net in base 16 | [i] | Base Change | |