Information on Result #1128777
Linear OOA(3105, 38, F3, 5, 74) (dual of [(38, 5), 85, 75]-NRT-code), using construction X applied to AG(5;F,52P) ⊂ AG(5;F,55P) based on
- linear OOA(3101, 36, F3, 5, 75) (dual of [(36, 5), 79, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,52P) 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(395, 36, F3, 5, 69) (dual of [(36, 5), 85, 70]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) 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(3157, 66, F3, 5, 74) (dual of [(66, 5), 173, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |