Information on Result #1026109
Linear OOA(3194, 69, F3, 3, 135) (dual of [(69, 3), 13, 136]-NRT-code), using juxtaposition based on
- linear OOA(326, 13, F3, 3, 21) (dual of [(13, 3), 13, 22]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 26, 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, 26, 13)-net over F3, using
- linear OOA(3155, 56, F3, 3, 113) (dual of [(56, 3), 13, 114]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(371, 28, F3, 3, 56) (dual of [(28, 3), 13, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(371, 28, F3, 3, 56) (dual of [(28, 3), 13, 57]-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(3194, 69, F3, 3, 134) (dual of [(69, 3), 13, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3194, 69, F3, 3, 133) (dual of [(69, 3), 13, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(3194, 69, F3, 3, 132) (dual of [(69, 3), 13, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(3194, 69, F3, 3, 131) (dual of [(69, 3), 13, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(3194, 69, F3, 3, 130) (dual of [(69, 3), 13, 131]-NRT-code) | [i] | ||