Information on Result #1082269
Linear OOA(3246, 74, F3, 4, 144) (dual of [(74, 4), 50, 145]-NRT-code), using (u, u+v)-construction based on
- linear OOA(399, 37, F3, 4, 72) (dual of [(37, 4), 49, 73]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 99, 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, 99, 37)-net over F3, using
- linear OOA(3147, 37, F3, 4, 144) (dual of [(37, 4), 1, 145]-NRT-code), using
- strength reduction [i] based on linear OOA(3147, 37, F3, 4, 147) (dual of [(37, 4), 1, 148]-NRT-code), using
- dual of repetition NRT-code with length 37 [i]
- strength reduction [i] based on linear OOA(3147, 37, F3, 4, 147) (dual of [(37, 4), 1, 148]-NRT-code), 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(3246, 74, F3, 4, 143) (dual of [(74, 4), 50, 144]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3246, 74, F3, 4, 142) (dual of [(74, 4), 50, 143]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 74, F3, 4, 141) (dual of [(74, 4), 50, 142]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 75, F3, 4, 144) (dual of [(75, 4), 50, 145]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3248, 74, F3, 4, 144) (dual of [(74, 4), 48, 145]-NRT-code) | [i] | OOA Duplication | |