Information on Result #1203686
Digital (16, 33, 2048)-net over F128, using net defined by OOA based on linear OOA(12833, 2048, F128, 17, 17) (dual of [(2048, 17), 34783, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(12833, 16385, F128, 17) (dual of [16385, 16352, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, 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, 2048)-net over F128 | [i] | Net Duplication | |
| 2 | Digital (18, 35, 2048)-net over F128 | [i] | ||
| 3 | Digital (16, 32, 2048)-net over F128 | [i] | m-Reduction | |
| 4 | Digital (24, 41, 2177)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (25, 42, 2198)-net over F128 | [i] | ||
| 6 | Digital (27, 44, 2240)-net over F128 | [i] | ||
| 7 | Digital (28, 45, 2306)-net over F128 | [i] | ||
| 8 | Digital (29, 46, 2327)-net over F128 | [i] | ||
| 9 | Digital (30, 47, 2434)-net over F128 | [i] | ||
| 10 | Digital (30, 47, 2435)-net over F128 | [i] | ||