Information on Result #1038517
Linear OOA(578, 74, F5, 3, 43) (dual of [(74, 3), 144, 44]-NRT-code), using construction X applied to AG(3;F,169P) ⊂ AG(3;F,174P) based on
- linear OOA(574, 71, F5, 3, 43) (dual of [(71, 3), 139, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,169P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(569, 71, F5, 3, 38) (dual of [(71, 3), 144, 39]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(54, 3, F5, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 3, 4) (dual of [(5, 3), 11, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;11,5) [i]
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 3, 4) (dual of [(5, 3), 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(578, 74, F5, 3, 42) (dual of [(74, 3), 144, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |