Information on Result #1823342
(111, 174, 70)-net in base 2, using trace code for nets based on (24, 87, 35)-net in base 4, using
- net from sequence [i] based on (24, 34)-sequence in base 4, using
- base expansion [i] based on digital (48, 34)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 2 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- base expansion [i] based on digital (48, 34)-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, 173, 70)-net in base 2 | [i] | m-Reduction | |
| 2 | (111, 172, 70)-net in base 2 | [i] | ||
| 3 | (111, 171, 70)-net in base 2 | [i] | ||
| 4 | OOA(2174, 70, S2, 5, 63) | [i] | Extracting Embedded OOA | |
| 5 | OOA(2174, 70, S2, 6, 63) | [i] | ||
| 6 | OOA(2174, 70, S2, 7, 63) | [i] | ||
| 7 | OOA(2174, 70, S2, 8, 63) | [i] | ||