Information on Result #800097
Digital (44, 88, 514)-net over F16, using trace code for nets based on digital (0, 44, 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 (44, 87, 514)-net over F16 | [i] | m-Reduction | |
| 2 | Digital (67, 111, 538)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (68, 112, 547)-net over F16 | [i] | ||
| 4 | Digital (69, 113, 552)-net over F16 | [i] | ||
| 5 | Digital (70, 114, 559)-net over F16 | [i] | ||
| 6 | Digital (71, 115, 563)-net over F16 | [i] | ||
| 7 | Digital (72, 116, 579)-net over F16 | [i] | ||
| 8 | Digital (81, 125, 580)-net over F16 | [i] | ||
| 9 | Digital (82, 126, 585)-net over F16 | [i] | ||
| 10 | Digital (83, 127, 596)-net over F16 | [i] | ||
| 11 | Digital (84, 128, 603)-net over F16 | [i] | ||
| 12 | Digital (85, 129, 612)-net over F16 | [i] | ||
| 13 | Digital (86, 130, 617)-net over F16 | [i] | ||
| 14 | (78, 122, 590)-net in base 16 | [i] | ||
| 15 | (79, 123, 594)-net in base 16 | [i] | ||
| 16 | (81, 125, 612)-net in base 16 | [i] | ||
| 17 | (82, 126, 618)-net in base 16 | [i] | ||
| 18 | (83, 127, 643)-net in base 16 | [i] | ||
| 19 | (85, 129, 664)-net in base 16 | [i] | ||
| 20 | Linear OOA(1688, 514, F16, 2, 44) (dual of [(514, 2), 940, 45]-NRT-code) | [i] | Extracting Embedded OOA | |