Information on Result #1026103
Linear OOA(3193, 69, F3, 3, 132) (dual of [(69, 3), 14, 133]-NRT-code), using juxtaposition based on
- linear OOA(382, 32, F3, 3, 61) (dual of [(32, 3), 14, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,34P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- linear OOA(397, 37, F3, 3, 70) (dual of [(37, 3), 14, 71]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 97, 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, 97, 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(3193, 69, F3, 3, 131) (dual of [(69, 3), 14, 132]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3193, 69, F3, 3, 130) (dual of [(69, 3), 14, 131]-NRT-code) | [i] | ||
3 | Linear OOA(3193, 69, F3, 3, 129) (dual of [(69, 3), 14, 130]-NRT-code) | [i] | ||
4 | Linear OOA(3193, 69, F3, 3, 128) (dual of [(69, 3), 14, 129]-NRT-code) | [i] |