Information on Result #791643
Digital (172, 243, 138)-net over F2, using trace code for nets based on digital (10, 81, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
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 (173, 244, 138)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (172, 242, 138)-net over F2 | [i] | m-Reduction | |
| 3 | Linear OOA(2243, 138, F2, 3, 71) (dual of [(138, 3), 171, 72]-NRT-code) | [i] | Extracting Embedded OOA | |
| 4 | Linear OOA(2243, 138, F2, 4, 71) (dual of [(138, 4), 309, 72]-NRT-code) | [i] | ||
| 5 | Linear OOA(2243, 138, F2, 5, 71) (dual of [(138, 5), 447, 72]-NRT-code) | [i] | ||
| 6 | Linear OOA(2243, 138, F2, 6, 71) (dual of [(138, 6), 585, 72]-NRT-code) | [i] | ||
| 7 | Linear OOA(2243, 138, F2, 7, 71) (dual of [(138, 7), 723, 72]-NRT-code) | [i] | ||
| 8 | Linear OOA(2243, 138, F2, 8, 71) (dual of [(138, 8), 861, 72]-NRT-code) | [i] | ||