Information on Result #791471
Digital (112, 153, 138)-net over F2, using trace code for nets based on digital (10, 51, 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 (113, 154, 138)-net over F2 | [i] | Net Duplication | |
2 | Digital (112, 152, 138)-net over F2 | [i] | m-Reduction | |
3 | Linear OOA(2153, 138, F2, 3, 41) (dual of [(138, 3), 261, 42]-NRT-code) | [i] | Extracting Embedded OOA | |
4 | Linear OOA(2153, 138, F2, 4, 41) (dual of [(138, 4), 399, 42]-NRT-code) | [i] | ||
5 | Linear OOA(2153, 138, F2, 5, 41) (dual of [(138, 5), 537, 42]-NRT-code) | [i] | ||
6 | Linear OOA(2153, 138, F2, 6, 41) (dual of [(138, 6), 675, 42]-NRT-code) | [i] | ||
7 | Linear OOA(2153, 138, F2, 7, 41) (dual of [(138, 7), 813, 42]-NRT-code) | [i] | ||
8 | Linear OOA(2153, 138, F2, 8, 41) (dual of [(138, 8), 951, 42]-NRT-code) | [i] |