Information on Result #1230068
Digital (16, 23, 510)-net over F9, using generalized (u, u+v)-construction based on
- digital (0, 1, 91)-net over F9, using
- s-reduction based on digital (0, 1, s)-net over F9 for arbitrarily large s, using
- digital (1, 3, 91)-net over F9, using
- digital (2, 5, 164)-net over F9, using
- s-reduction based on digital (2, 5, 212)-net over F9, using
- net defined by OOA [i] based on linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- s-reduction based on digital (2, 5, 212)-net over F9, using
- digital (7, 14, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 7, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 7, 82)-net over F81, 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 (122, 137, 2397252)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (115, 129, 2397252)-net over F9 | [i] | ||