Information on Result #1157659
Linear OOA(2157, 50, F2, 7, 82) (dual of [(50, 7), 193, 83]-NRT-code), using extracting embedded OOA based on digital (75, 157, 50)-net over F2, using
- net from sequence [i] based on digital (75, 49)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
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(2157, 50, F2, 7, 81) (dual of [(50, 7), 193, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2157, 50, F2, 7, 80) (dual of [(50, 7), 193, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(2157, 50, F2, 7, 79) (dual of [(50, 7), 193, 80]-NRT-code) | [i] | ||
| 4 | Linear OOA(2157, 50, F2, 7, 78) (dual of [(50, 7), 193, 79]-NRT-code) | [i] | ||