Information on Result #799824
Digital (37, 74, 514)-net over F16, using trace code for nets based on digital (0, 37, 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 (37, 73, 514)-net over F16 | [i] | m-Reduction | |
2 | Digital (56, 93, 538)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
3 | Digital (57, 94, 547)-net over F16 | [i] | ||
4 | Digital (58, 95, 552)-net over F16 | [i] | ||
5 | Digital (59, 96, 559)-net over F16 | [i] | ||
6 | Digital (60, 97, 563)-net over F16 | [i] | ||
7 | Digital (61, 98, 579)-net over F16 | [i] | ||
8 | Digital (68, 105, 580)-net over F16 | [i] | ||
9 | Digital (69, 106, 585)-net over F16 | [i] | ||
10 | Digital (70, 107, 596)-net over F16 | [i] | ||
11 | Digital (71, 108, 603)-net over F16 | [i] | ||
12 | Digital (72, 109, 771)-net over F16 | [i] | ||
13 | Digital (73, 110, 1028)-net over F16 | [i] | ||
14 | (66, 103, 594)-net in base 16 | [i] | ||
15 | (69, 106, 618)-net in base 16 | [i] | ||
16 | (70, 107, 643)-net in base 16 | [i] | ||
17 | (71, 108, 664)-net in base 16 | [i] | ||
18 | Digital (85, 122, 1045)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
19 | Digital (86, 123, 1052)-net over F16 | [i] | ||
20 | Digital (87, 124, 1061)-net over F16 | [i] | ||
21 | Digital (88, 125, 1066)-net over F16 | [i] | ||
22 | Digital (89, 126, 1073)-net over F16 | [i] | ||
23 | Digital (90, 127, 1077)-net over F16 | [i] | ||
24 | Digital (91, 128, 1093)-net over F16 | [i] | ||
25 | Linear OOA(1674, 514, F16, 2, 37) (dual of [(514, 2), 954, 38]-NRT-code) | [i] | Extracting Embedded OOA |