Information on Result #1219952
Digital (49, 81, 538)-net over F16, using (u, u+v)-construction based on
- digital (1, 17, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (32, 64, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 32, 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, 32, 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 (81, 113, 1052)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (83, 115, 1054)-net over F16 | [i] | ||
| 3 | Digital (85, 117, 1056)-net over F16 | [i] | ||
| 4 | Digital (87, 119, 1058)-net over F16 | [i] | ||
| 5 | (76, 108, 538)-net in base 8 | [i] | Base Change | |