Information on Result #909972
Linear OOA(5109, 59, F5, 2, 80) (dual of [(59, 2), 9, 81]-NRT-code), using juxtaposition based on
- linear OOA(523, 16, F5, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(577, 43, F5, 2, 59) (dual of [(43, 2), 9, 60]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 77, 43)-net over F5, using
- net from sequence [i] based on digital (18, 42)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 17, N(F) = 42, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (18, 42)-sequence over F5, using
- extracting embedded OOA [i] based on digital (18, 77, 43)-net over F5, 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(5109, 59, F5, 2, 79) (dual of [(59, 2), 9, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |