Information on Result #799404
Digital (22, 44, 514)-net over F16, using trace code for nets based on digital (0, 22, 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 (22, 43, 514)-net over F16 | [i] | m-Reduction | |
2 | Digital (33, 55, 531)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
3 | Digital (34, 56, 538)-net over F16 | [i] | ||
4 | Digital (35, 57, 547)-net over F16 | [i] | ||
5 | Digital (36, 58, 552)-net over F16 | [i] | ||
6 | Digital (37, 59, 559)-net over F16 | [i] | ||
7 | Digital (38, 60, 563)-net over F16 | [i] | ||
8 | Digital (39, 61, 579)-net over F16 | [i] | ||
9 | Digital (42, 64, 580)-net over F16 | [i] | ||
10 | Digital (43, 65, 771)-net over F16 | [i] | ||
11 | Digital (44, 66, 1028)-net over F16 | [i] | ||
12 | (40, 62, 594)-net in base 16 | [i] | ||
13 | (42, 64, 643)-net in base 16 | [i] | ||
14 | Digital (56, 78, 1062)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
15 | Digital (57, 79, 1069)-net over F16 | [i] | ||
16 | Digital (58, 80, 1076)-net over F16 | [i] | ||
17 | Digital (58, 80, 1078)-net over F16 | [i] | ||
18 | Digital (51, 73, 1045)-net over F16 | [i] | ||
19 | Digital (52, 74, 1052)-net over F16 | [i] | ||
20 | Digital (53, 75, 1061)-net over F16 | [i] | ||
21 | Digital (54, 76, 1066)-net over F16 | [i] | ||
22 | Digital (55, 77, 1073)-net over F16 | [i] | ||
23 | Digital (56, 78, 1078)-net over F16 | [i] | ||
24 | Digital (57, 79, 1285)-net over F16 | [i] | ||
25 | Digital (58, 80, 1542)-net over F16 | [i] | ||
26 | Digital (56, 78, 1079)-net over F16 | [i] | ||
27 | Linear OOA(1644, 514, F16, 2, 22) (dual of [(514, 2), 984, 23]-NRT-code) | [i] | Extracting Embedded OOA |