Information on Result #1128953
Linear OOA(3137, 40, F3, 5, 100) (dual of [(40, 5), 63, 101]-NRT-code), using construction X applied to AG(5;F,39P) ⊂ AG(5;F,45P) based on
- linear OOA(3127, 36, F3, 5, 101) (dual of [(36, 5), 53, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,39P) 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(3115, 36, F3, 5, 89) (dual of [(36, 5), 65, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,45P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;10,3) [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(3214, 77, F3, 5, 100) (dual of [(77, 5), 171, 101]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |