Information on Result #1202140
Digital (24, 33, 2097150)-net over F81, using net defined by OOA based on linear OOA(8133, 2097150, F81, 9, 9) (dual of [(2097150, 9), 18874317, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(8133, 8388601, F81, 9) (dual of [8388601, 8388568, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 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 (25, 34, 2097150)-net over F81 | [i] | Net Duplication | |
| 2 | Digital (26, 35, 2097150)-net over F81 | [i] | ||
| 3 | Digital (27, 36, 2097150)-net over F81 | [i] | ||
| 4 | Digital (24, 32, 2097150)-net over F81 | [i] | m-Reduction | |
| 5 | Digital (28, 37, 2097232)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (29, 38, 2097250)-net over F81 | [i] | ||
| 7 | Digital (30, 39, 2100390)-net over F81 | [i] | ||
| 8 | Digital (31, 40, 2100431)-net over F81 | [i] | ||
| 9 | Digital (32, 41, 2103792)-net over F81 | [i] | ||
| 10 | Digital (33, 42, 2103810)-net over F81 | [i] | ||
| 11 | Digital (34, 43, 2362872)-net over F81 | [i] | ||
| 12 | Digital (35, 44, 2362874)-net over F81 | [i] | ||
| 13 | Digital (36, 45, 2362954)-net over F81 | [i] | ||
| 14 | Digital (40, 49, 4194382)-net over F81 | [i] | Generalized (u, u+v)-Construction for Nets | |