Information on Result #1075203
Linear OOA(2151, 49, F2, 4, 81) (dual of [(49, 4), 45, 82]-NRT-code), using extracting embedded OOA based on digital (70, 151, 49)-net over F2, using
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [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(2151, 49, F2, 4, 80) (dual of [(49, 4), 45, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2151, 49, F2, 4, 79) (dual of [(49, 4), 45, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(2151, 49, F2, 4, 78) (dual of [(49, 4), 45, 79]-NRT-code) | [i] | ||
| 4 | Linear OOA(2155, 50, F2, 4, 81) (dual of [(50, 4), 45, 82]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |