Information on Result #799519
Digital (27, 54, 514)-net over F16, using trace code for nets based on digital (0, 27, 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 (27, 53, 514)-net over F16 | [i] | m-Reduction | |
| 2 | Digital (40, 67, 531)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (41, 68, 538)-net over F16 | [i] | ||
| 4 | Digital (42, 69, 547)-net over F16 | [i] | ||
| 5 | Digital (43, 70, 552)-net over F16 | [i] | ||
| 6 | Digital (44, 71, 559)-net over F16 | [i] | ||
| 7 | Digital (45, 72, 563)-net over F16 | [i] | ||
| 8 | Digital (46, 73, 579)-net over F16 | [i] | ||
| 9 | Digital (50, 77, 580)-net over F16 | [i] | ||
| 10 | Digital (51, 78, 585)-net over F16 | [i] | ||
| 11 | Digital (52, 79, 771)-net over F16 | [i] | ||
| 12 | Digital (53, 80, 1028)-net over F16 | [i] | ||
| 13 | (48, 75, 594)-net in base 16 | [i] | ||
| 14 | (51, 78, 643)-net in base 16 | [i] | ||
| 15 | Digital (68, 95, 1062)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 16 | Digital (69, 96, 1069)-net over F16 | [i] | ||
| 17 | Digital (70, 97, 1076)-net over F16 | [i] | ||
| 18 | Digital (70, 97, 1078)-net over F16 | [i] | ||
| 19 | Digital (71, 98, 1085)-net over F16 | [i] | ||
| 20 | Digital (72, 99, 1094)-net over F16 | [i] | ||
| 21 | Digital (73, 100, 1099)-net over F16 | [i] | ||
| 22 | Digital (62, 89, 1045)-net over F16 | [i] | ||
| 23 | Digital (63, 90, 1052)-net over F16 | [i] | ||
| 24 | Digital (64, 91, 1061)-net over F16 | [i] | ||
| 25 | Digital (65, 92, 1066)-net over F16 | [i] | ||
| 26 | Digital (66, 93, 1073)-net over F16 | [i] | ||
| 27 | Digital (67, 94, 1077)-net over F16 | [i] | ||
| 28 | Digital (68, 95, 1093)-net over F16 | [i] | ||
| 29 | Digital (70, 97, 1285)-net over F16 | [i] | ||
| 30 | Digital (71, 98, 1542)-net over F16 | [i] | ||
| 31 | Linear OOA(1654, 514, F16, 2, 27) (dual of [(514, 2), 974, 28]-NRT-code) | [i] | Extracting Embedded OOA | |
| 32 | (45, 72, 514)-net in base 8 | [i] | Base Change | |