Information on Result #799365
Digital (20, 40, 514)-net over F16, using trace code for nets based on digital (0, 20, 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 (20, 39, 514)-net over F16 | [i] | m-Reduction | |
2 | Digital (59, 79, 514)-net over F4 | [i] | Base Reduction for Projective Spaces (for Nets) | |
3 | Digital (30, 50, 531)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
4 | Digital (31, 51, 538)-net over F16 | [i] | ||
5 | Digital (32, 52, 547)-net over F16 | [i] | ||
6 | Digital (33, 53, 552)-net over F16 | [i] | ||
7 | Digital (34, 54, 559)-net over F16 | [i] | ||
8 | Digital (35, 55, 563)-net over F16 | [i] | ||
9 | Digital (36, 56, 579)-net over F16 | [i] | ||
10 | Digital (39, 59, 771)-net over F16 | [i] | ||
11 | Digital (40, 60, 1028)-net over F16 | [i] | ||
12 | Digital (80, 120, 1028)-net over F16 | [i] | ||
13 | Digital (82, 122, 1030)-net over F16 | [i] | ||
14 | Digital (81, 122, 1028)-net over F16 | [i] | ||
15 | Digital (83, 124, 1030)-net over F16 | [i] | ||
16 | (35, 55, 579)-net in base 16 | [i] | ||
17 | (37, 57, 594)-net in base 16 | [i] | ||
18 | (38, 58, 643)-net in base 16 | [i] | ||
19 | Digital (51, 71, 1062)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
20 | Digital (52, 72, 1069)-net over F16 | [i] | ||
21 | Digital (46, 66, 1045)-net over F16 | [i] | ||
22 | Digital (47, 67, 1052)-net over F16 | [i] | ||
23 | Digital (48, 68, 1061)-net over F16 | [i] | ||
24 | Digital (49, 69, 1066)-net over F16 | [i] | ||
25 | Digital (50, 70, 1073)-net over F16 | [i] | ||
26 | Digital (51, 71, 1285)-net over F16 | [i] | ||
27 | Digital (52, 72, 1542)-net over F16 | [i] | ||
28 | Linear OOA(1640, 514, F16, 2, 20) (dual of [(514, 2), 988, 21]-NRT-code) | [i] | Extracting Embedded OOA |