Information on Result #795993
Digital (182, 231, 1539)-net over F4, using trace code for nets based on digital (28, 77, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, 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 (183, 231, 1539)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (183, 232, 1539)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (182, 230, 1539)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (182, 229, 1539)-net over F4 | [i] | ||
| 5 | Digital (182, 228, 1539)-net over F4 | [i] | ||
| 6 | Digital (182, 227, 1539)-net over F4 | [i] | ||
| 7 | Digital (182, 226, 1539)-net over F4 | [i] | ||
| 8 | Digital (182, 225, 1539)-net over F4 | [i] | ||
| 9 | Digital (182, 224, 1539)-net over F4 | [i] | ||
| 10 | Digital (182, 223, 1539)-net over F4 | [i] | ||
| 11 | Digital (182, 222, 1539)-net over F4 | [i] | ||
| 12 | Digital (206, 255, 1544)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 13 | Digital (207, 256, 1548)-net over F4 | [i] | ||
| 14 | Digital (208, 257, 1549)-net over F4 | [i] | ||
| 15 | Digital (209, 258, 1553)-net over F4 | [i] | ||
| 16 | Digital (210, 259, 1554)-net over F4 | [i] | ||
| 17 | Digital (211, 260, 1556)-net over F4 | [i] | ||
| 18 | Linear OOA(4231, 1539, F4, 3, 49) (dual of [(1539, 3), 4386, 50]-NRT-code) | [i] | Extracting Embedded OOA | |