Information on Result #1087202
Linear OOA(3249, 68, F3, 4, 179) (dual of [(68, 4), 23, 180]-NRT-code), using juxtaposition based on
- linear OOA(3101, 31, F3, 4, 80) (dual of [(31, 4), 23, 81]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3101, 32, F3, 4, 80) (dual of [(32, 4), 27, 81]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,47P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(3101, 32, F3, 4, 80) (dual of [(32, 4), 27, 81]-NRT-code), using
- linear OOA(3125, 37, F3, 4, 98) (dual of [(37, 4), 23, 99]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 125, 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, 125, 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(3249, 68, F3, 4, 178) (dual of [(68, 4), 23, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3249, 68, F3, 4, 177) (dual of [(68, 4), 23, 178]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 68, F3, 4, 176) (dual of [(68, 4), 23, 177]-NRT-code) | [i] | ||