Information on Result #1825944
(179, 243, 648)-net in base 4, using trace code for nets based on (17, 81, 216)-net in base 64, using
- 3 times m-reduction [i] based on (17, 84, 216)-net in base 64, using
- base change [i] based on digital (5, 72, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 72, 216)-net over F128, 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 | (180, 243, 648)-net in base 4 | [i] | t-Expansion | |
| 2 | (180, 244, 648)-net in base 4 | [i] | Net Duplication | |
| 3 | (179, 242, 648)-net in base 4 | [i] | m-Reduction | |
| 4 | (179, 241, 648)-net in base 4 | [i] | ||
| 5 | (179, 240, 648)-net in base 4 | [i] | ||
| 6 | (179, 239, 648)-net in base 4 | [i] | ||
| 7 | OOA(4243, 648, S4, 2, 64) | [i] | Extracting Embedded OOA | |
| 8 | OOA(4243, 648, S4, 3, 64) | [i] | ||