Information on Result #1087125
Linear OOA(3235, 66, F3, 4, 161) (dual of [(66, 4), 29, 162]-NRT-code), using juxtaposition based on
- linear OOA(387, 29, F3, 4, 68) (dual of [(29, 4), 29, 69]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,43P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- linear OOA(3119, 37, F3, 4, 92) (dual of [(37, 4), 29, 93]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 119, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 119, 37)-net 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(3235, 66, F3, 4, 160) (dual of [(66, 4), 29, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3235, 66, F3, 4, 159) (dual of [(66, 4), 29, 160]-NRT-code) | [i] | ||
| 3 | Linear OOA(3235, 66, F3, 4, 158) (dual of [(66, 4), 29, 159]-NRT-code) | [i] | ||
| 4 | Linear OOA(3235, 66, F3, 4, 157) (dual of [(66, 4), 29, 158]-NRT-code) | [i] | ||
| 5 | Linear OOA(3235, 66, F3, 4, 156) (dual of [(66, 4), 29, 157]-NRT-code) | [i] | ||
| 6 | Linear OOA(3235, 66, F3, 4, 155) (dual of [(66, 4), 29, 156]-NRT-code) | [i] | ||
| 7 | Linear OOA(3235, 66, F3, 4, 154) (dual of [(66, 4), 29, 155]-NRT-code) | [i] | ||
| 8 | Linear OOA(3235, 66, F3, 4, 153) (dual of [(66, 4), 29, 154]-NRT-code) | [i] | ||