Information on Result #1219777
Digital (49, 78, 579)-net over F16, using (u, u+v)-construction based on
- digital (6, 20, 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
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- digital (29, 58, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 29, 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]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 29, 257)-net over F256, 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 (50, 79, 579)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (49, 77, 579)-net over F16 | [i] | m-Reduction | |
| 3 | Digital (77, 106, 1093)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (79, 108, 1095)-net over F16 | [i] | ||
| 5 | (75, 104, 579)-net in base 8 | [i] | Base Change | |