Information on Result #1093630
Linear OOA(3216, 77, F3, 4, 103) (dual of [(77, 4), 92, 104]-NRT-code), using (u, u+v)-construction based on
- linear OOA(378, 37, F3, 4, 51) (dual of [(37, 4), 70, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 78, 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, 78, 37)-net over F3, using
- linear OOA(3138, 40, F3, 4, 103) (dual of [(40, 4), 22, 104]-NRT-code), using
- construction X applied to AG(4;F,20P) ⊂ AG(4;F,25P) [i] based on
- linear OOA(3129, 36, F3, 4, 103) (dual of [(36, 4), 15, 104]-NRT-code), using algebraic-geometric NRT-code AG(4;F,20P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(3119, 36, F3, 4, 93) (dual of [(36, 4), 25, 94]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(39, 4, F3, 4, 9) (dual of [(4, 4), 7, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;7,3) [i]
- construction X applied to AG(4;F,20P) ⊂ AG(4;F,25P) [i] based on
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(3216, 77, F3, 4, 102) (dual of [(77, 4), 92, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |