Information on Result #1087414
Linear OOA(3233, 61, F3, 4, 182) (dual of [(61, 4), 11, 183]-NRT-code), using juxtaposition based on
- linear OOA(341, 13, F3, 4, 36) (dual of [(13, 4), 11, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 41, 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
- extracting embedded OOA [i] based on digital (5, 41, 13)-net over F3, using
- linear OOA(3181, 48, F3, 4, 145) (dual of [(48, 4), 11, 146]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(385, 24, F3, 4, 72) (dual of [(24, 4), 11, 73]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- repeating each code word 2 times [i] based on linear OOA(385, 24, F3, 4, 72) (dual of [(24, 4), 11, 73]-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(3233, 61, F3, 4, 181) (dual of [(61, 4), 11, 182]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3233, 61, F3, 4, 180) (dual of [(61, 4), 11, 181]-NRT-code) | [i] | ||
| 3 | Linear OOA(3233, 61, F3, 4, 179) (dual of [(61, 4), 11, 180]-NRT-code) | [i] | ||