Information on Result #1204728
Digital (16, 33, 8192)-net over F256, using net defined by OOA based on linear OOA(25633, 8192, F256, 17, 17) (dual of [(8192, 17), 139231, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
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 (17, 34, 8192)-net over F256 | [i] | Net Duplication | |
| 2 | Digital (18, 35, 8192)-net over F256 | [i] | ||
| 3 | Digital (16, 32, 8192)-net over F256 | [i] | m-Reduction | |
| 4 | Digital (24, 41, 8449)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (25, 42, 8450)-net over F256 | [i] | ||
| 6 | Digital (26, 43, 8451)-net over F256 | [i] | ||
| 7 | Digital (27, 44, 8452)-net over F256 | [i] | ||
| 8 | Digital (28, 45, 8706)-net over F256 | [i] | ||
| 9 | Digital (29, 46, 8707)-net over F256 | [i] | ||
| 10 | Digital (30, 47, 8962)-net over F256 | [i] | ||
| 11 | Digital (30, 47, 8963)-net over F256 | [i] | ||
| 12 | (27, 44, 8192)-net in base 64 | [i] | Base Change | |