Information on Result #1120349
Linear OOA(3189, 39, F3, 5, 164) (dual of [(39, 5), 6, 165]-NRT-code), using repeating each code word 3 times based on linear OOA(359, 13, F3, 5, 54) (dual of [(13, 5), 6, 55]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 59, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, 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(3189, 39, F3, 5, 163) (dual of [(39, 5), 6, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3189, 39, F3, 5, 162) (dual of [(39, 5), 6, 163]-NRT-code) | [i] | ||
| 3 | Linear OOA(3189, 39, F3, 5, 161) (dual of [(39, 5), 6, 162]-NRT-code) | [i] | ||