Information on Result #799204
Digital (6, 12, 514)-net over F16, using trace code for nets based on digital (0, 6, 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 (6, 11, 514)-net over F16 | [i] | m-Reduction | |
| 2 | Digital (17, 23, 514)-net over F4 | [i] | Base Reduction for Projective Spaces (for Nets) | |
| 3 | Digital (9, 15, 531)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (24, 36, 1028)-net over F16 | [i] | ||
| 5 | Digital (26, 38, 1030)-net over F16 | [i] | ||
| 6 | Digital (30, 42, 1045)-net over F16 | [i] | ||
| 7 | Digital (31, 43, 1052)-net over F16 | [i] | ||
| 8 | Digital (68, 80, 2796714)-net over F16 | [i] | ||
| 9 | Digital (25, 38, 1028)-net over F16 | [i] | ||
| 10 | Digital (27, 40, 1030)-net over F16 | [i] | ||
| 11 | Digital (31, 44, 1045)-net over F16 | [i] | ||
| 12 | Digital (32, 45, 1052)-net over F16 | [i] | ||
| 13 | Digital (73, 86, 2796714)-net over F16 | [i] | ||
| 14 | Digital (32, 45, 1062)-net over F16 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 15 | Digital (31, 43, 1062)-net over F16 | [i] | ||
| 16 | Digital (52, 72, 1542)-net over F16 | [i] | ||
| 17 | Digital (49, 68, 1542)-net over F16 | [i] | ||
| 18 | Digital (29, 42, 1045)-net over F16 | [i] | ||
| 19 | Digital (30, 43, 1052)-net over F16 | [i] | ||
| 20 | Digital (31, 44, 1148)-net over F16 | [i] | ||
| 21 | Digital (32, 45, 1285)-net over F16 | [i] | ||
| 22 | Digital (33, 46, 1542)-net over F16 | [i] | ||
| 23 | Digital (35, 48, 1544)-net over F16 | [i] | ||
| 24 | Digital (28, 40, 1045)-net over F16 | [i] | ||
| 25 | Digital (29, 41, 1052)-net over F16 | [i] | ||
| 26 | Digital (30, 42, 1148)-net over F16 | [i] | ||
| 27 | Digital (31, 43, 1285)-net over F16 | [i] | ||
| 28 | Digital (32, 44, 1542)-net over F16 | [i] | ||
| 29 | Linear OOA(1612, 514, F16, 2, 6) (dual of [(514, 2), 1016, 7]-NRT-code) | [i] | Extracting Embedded OOA | |
| 30 | (10, 16, 514)-net in base 8 | [i] | Base Change | |