Information on Result #1081740
Linear OOA(3163, 65, F3, 4, 81) (dual of [(65, 4), 97, 82]-NRT-code), using (u, u+v)-construction based on
- linear OOA(355, 28, F3, 4, 40) (dual of [(28, 4), 57, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,71P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(3108, 37, F3, 4, 81) (dual of [(37, 4), 40, 82]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 108, 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, 108, 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(3163, 65, F3, 4, 80) (dual of [(65, 4), 97, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3163, 65, F3, 4, 79) (dual of [(65, 4), 97, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 66, F3, 4, 81) (dual of [(66, 4), 97, 82]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3164, 65, F3, 4, 81) (dual of [(65, 4), 96, 82]-NRT-code) | [i] | OOA Duplication | |