Information on Result #800014
Digital (42, 84, 514)-net over F16, using trace code for nets based on digital (0, 42, 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 (42, 83, 514)-net over F16 | [i] | m-Reduction | |
| 2 | Digital (64, 106, 538)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (65, 107, 547)-net over F16 | [i] | ||
| 4 | Digital (66, 108, 552)-net over F16 | [i] | ||
| 5 | Digital (67, 109, 559)-net over F16 | [i] | ||
| 6 | Digital (68, 110, 563)-net over F16 | [i] | ||
| 7 | Digital (69, 111, 579)-net over F16 | [i] | ||
| 8 | Digital (77, 119, 580)-net over F16 | [i] | ||
| 9 | Digital (78, 120, 585)-net over F16 | [i] | ||
| 10 | Digital (79, 121, 596)-net over F16 | [i] | ||
| 11 | Digital (80, 122, 603)-net over F16 | [i] | ||
| 12 | Digital (81, 123, 612)-net over F16 | [i] | ||
| 13 | Digital (82, 124, 617)-net over F16 | [i] | ||
| 14 | Digital (83, 125, 771)-net over F16 | [i] | ||
| 15 | Digital (84, 126, 1028)-net over F16 | [i] | ||
| 16 | (75, 117, 594)-net in base 16 | [i] | ||
| 17 | (77, 119, 612)-net in base 16 | [i] | ||
| 18 | (78, 120, 618)-net in base 16 | [i] | ||
| 19 | (80, 122, 643)-net in base 16 | [i] | ||
| 20 | (81, 123, 664)-net in base 16 | [i] | ||
| 21 | Linear OOA(1684, 514, F16, 2, 42) (dual of [(514, 2), 944, 43]-NRT-code) | [i] | Extracting Embedded OOA | |
| 22 | (70, 112, 514)-net in base 8 | [i] | Base Change | |