Information on Result #791817
Digital (165, 212, 260)-net over F2, using trace code for nets based on digital (6, 53, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
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 (166, 212, 260)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (167, 212, 260)-net over F2 | [i] | ||
| 3 | Digital (166, 213, 260)-net over F2 | [i] | Net Duplication | |
| 4 | Digital (167, 214, 260)-net over F2 | [i] | ||
| 5 | Digital (165, 211, 260)-net over F2 | [i] | m-Reduction | |
| 6 | Digital (165, 210, 260)-net over F2 | [i] | ||
| 7 | Digital (165, 209, 260)-net over F2 | [i] | ||
| 8 | Digital (165, 208, 260)-net over F2 | [i] | ||
| 9 | Digital (165, 207, 260)-net over F2 | [i] | ||
| 10 | Digital (165, 206, 260)-net over F2 | [i] | ||
| 11 | Digital (188, 235, 263)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (189, 236, 265)-net over F2 | [i] | ||
| 13 | Digital (190, 237, 266)-net over F2 | [i] | ||
| 14 | Digital (191, 238, 267)-net over F2 | [i] | ||
| 15 | Digital (192, 239, 268)-net over F2 | [i] | ||
| 16 | Digital (193, 240, 269)-net over F2 | [i] | ||
| 17 | Digital (194, 241, 270)-net over F2 | [i] | ||
| 18 | Digital (196, 243, 271)-net over F2 | [i] | ||
| 19 | Digital (197, 244, 272)-net over F2 | [i] | ||
| 20 | Digital (199, 246, 274)-net over F2 | [i] | ||
| 21 | Digital (201, 248, 275)-net over F2 | [i] | ||
| 22 | Linear OOA(2212, 260, F2, 3, 47) (dual of [(260, 3), 568, 48]-NRT-code) | [i] | Extracting Embedded OOA | |
| 23 | Linear OOA(2212, 260, F2, 4, 47) (dual of [(260, 4), 828, 48]-NRT-code) | [i] | ||
| 24 | Linear OOA(2212, 260, F2, 5, 47) (dual of [(260, 5), 1088, 48]-NRT-code) | [i] | ||
| 25 | Linear OOA(2212, 260, F2, 6, 47) (dual of [(260, 6), 1348, 48]-NRT-code) | [i] | ||
| 26 | Linear OOA(2212, 260, F2, 7, 47) (dual of [(260, 7), 1608, 48]-NRT-code) | [i] | ||
| 27 | Linear OOA(2212, 260, F2, 8, 47) (dual of [(260, 8), 1868, 48]-NRT-code) | [i] | ||