Information on Result #1823315
(111, 162, 86)-net in base 2, using trace code for nets based on (30, 81, 43)-net in base 4, using
- net from sequence [i] based on (30, 42)-sequence in base 4, using
- base expansion [i] based on digital (60, 42)-sequence over F2, using
- t-expansion [i] based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- t-expansion [i] based on digital (59, 42)-sequence over F2, using
- base expansion [i] based on digital (60, 42)-sequence over F2, using
Mode: Constructive.
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 | (111, 161, 86)-net in base 2 | [i] | m-Reduction | |
| 2 | (111, 160, 86)-net in base 2 | [i] | ||
| 3 | (111, 159, 86)-net in base 2 | [i] | ||
| 4 | (111, 158, 86)-net in base 2 | [i] | ||
| 5 | (111, 157, 86)-net in base 2 | [i] | ||
| 6 | OOA(2162, 86, S2, 4, 51) | [i] | Extracting Embedded OOA | |
| 7 | OOA(2162, 86, S2, 5, 51) | [i] | ||
| 8 | OOA(2162, 86, S2, 6, 51) | [i] | ||
| 9 | OOA(2162, 86, S2, 7, 51) | [i] | ||
| 10 | OOA(2162, 86, S2, 8, 51) | [i] | ||