Information on Result #1025878
Linear OOA(3172, 65, F3, 3, 108) (dual of [(65, 3), 23, 109]-NRT-code), using juxtaposition based on
- linear OOA(361, 28, F3, 3, 46) (dual of [(28, 3), 23, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(388, 37, F3, 3, 61) (dual of [(37, 3), 23, 62]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 88, 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, 88, 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(3172, 65, F3, 3, 107) (dual of [(65, 3), 23, 108]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3172, 65, F3, 3, 106) (dual of [(65, 3), 23, 107]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 65, F3, 3, 105) (dual of [(65, 3), 23, 106]-NRT-code) | [i] | ||