Information on Result #1157077
Linear OOA(2109, 36, F2, 7, 58) (dual of [(36, 7), 143, 59]-NRT-code), using extracting embedded OOA based on digital (51, 109, 36)-net over F2, using
- net from sequence [i] based on digital (51, 35)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 3 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, 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(2109, 36, F2, 7, 57) (dual of [(36, 7), 143, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2109, 36, F2, 7, 56) (dual of [(36, 7), 143, 57]-NRT-code) | [i] | ||
| 3 | Linear OOA(2181, 72, F2, 7, 58) (dual of [(72, 7), 323, 59]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |