Information on Result #1023831
Linear OOA(3190, 65, F3, 3, 149) (dual of [(65, 3), 5, 150]-NRT-code), using repeating each code word 5 times based on linear OOA(334, 13, F3, 3, 29) (dual of [(13, 3), 5, 30]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 34, 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(3190, 65, F3, 3, 148) (dual of [(65, 3), 5, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3190, 65, F3, 3, 147) (dual of [(65, 3), 5, 148]-NRT-code) | [i] | ||
3 | Linear OOA(3190, 65, F3, 3, 146) (dual of [(65, 3), 5, 147]-NRT-code) | [i] | ||
4 | Linear OOA(3190, 65, F3, 3, 145) (dual of [(65, 3), 5, 146]-NRT-code) | [i] |