Information on Result #1093306
Linear OOA(3137, 40, F3, 4, 102) (dual of [(40, 4), 23, 103]-NRT-code), using construction X applied to AG(4;F,20P) ⊂ AG(4;F,25P) 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, using an explicitly constructive algebraic function field [i]
- 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(38, 4, F3, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;8,3) [i]
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(3215, 77, F3, 4, 102) (dual of [(77, 4), 93, 103]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |