Information on Result #1128762
Linear OOA(3115, 38, F3, 5, 84) (dual of [(38, 5), 75, 85]-NRT-code), using construction X applied to AG(5;F,47P) ⊂ AG(5;F,50P) based on
- linear OOA(3111, 36, F3, 5, 85) (dual of [(36, 5), 69, 86]-NRT-code), using algebraic-geometric NRT-code AG(5;F,47P) 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(3105, 36, F3, 5, 79) (dual of [(36, 5), 75, 80]-NRT-code), using algebraic-geometric NRT-code AG(5;F,50P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(34, 2, F3, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(34, 3, F3, 5, 4) (dual of [(3, 5), 11, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;11,3) [i]
- discarding factors / shortening the dual code based on linear OOA(34, 3, F3, 5, 4) (dual of [(3, 5), 11, 5]-NRT-code), 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, 66, F3, 5, 84) (dual of [(66, 5), 158, 85]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |