Information on Result #1000923
Linear OOA(2180, 138, F2, 3, 50) (dual of [(138, 3), 234, 51]-NRT-code), using extracting embedded OOA based on digital (130, 180, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 60, 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]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2181, 138, F2, 3, 50) (dual of [(138, 3), 233, 51]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2182, 138, F2, 3, 50) (dual of [(138, 3), 232, 51]-NRT-code) | [i] | ||
| 3 | Linear OOA(2180, 69, F2, 5, 50) (dual of [(69, 5), 165, 51]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2180, 69, F2, 6, 50) (dual of [(69, 6), 234, 51]-NRT-code) | [i] | ||