Information on Result #799200
Digital (5, 10, 514)-net over F16, using trace code for nets based on digital (0, 5, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [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 (5, 9, 514)-net over F16 | [i] | m-Reduction | |
2 | Digital (14, 19, 514)-net over F4 | [i] | Base Reduction for Projective Spaces (for Nets) | |
3 | Digital (7, 12, 531)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
4 | Digital (20, 30, 1028)-net over F16 | [i] | ||
5 | Digital (22, 32, 1030)-net over F16 | [i] | ||
6 | Digital (25, 35, 1045)-net over F16 | [i] | ||
7 | Digital (56, 66, 3355954)-net over F16 | [i] | ||
8 | Digital (21, 32, 1028)-net over F16 | [i] | ||
9 | Digital (23, 34, 1030)-net over F16 | [i] | ||
10 | Digital (26, 37, 1045)-net over F16 | [i] | ||
11 | Digital (61, 72, 3355954)-net over F16 | [i] | ||
12 | Digital (26, 37, 1062)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
13 | Digital (28, 39, 1542)-net over F16 | [i] | ||
14 | Digital (28, 39, 1559)-net over F16 | [i] | ||
15 | Digital (29, 40, 1815)-net over F16 | [i] | ||
16 | Digital (25, 35, 1062)-net over F16 | [i] | ||
17 | Digital (43, 60, 1542)-net over F16 | [i] | ||
18 | Digital (42, 58, 1542)-net over F16 | [i] | ||
19 | Digital (39, 54, 1542)-net over F16 | [i] | ||
20 | Digital (41, 56, 1544)-net over F16 | [i] | ||
21 | Digital (24, 35, 1045)-net over F16 | [i] | ||
22 | Digital (25, 36, 1285)-net over F16 | [i] | ||
23 | Digital (26, 37, 1542)-net over F16 | [i] | ||
24 | Digital (23, 33, 1045)-net over F16 | [i] | ||
25 | Digital (24, 34, 1285)-net over F16 | [i] | ||
26 | Digital (25, 35, 1542)-net over F16 | [i] | ||
27 | Linear OOA(1610, 514, F16, 2, 5) (dual of [(514, 2), 1018, 6]-NRT-code) | [i] | Extracting Embedded OOA |