Information on Result #1128729
Linear OOA(3137, 38, F3, 5, 106) (dual of [(38, 5), 53, 107]-NRT-code), using construction X applied to AG(5;F,36P) ⊂ AG(5;F,39P) based on
- linear OOA(3133, 36, F3, 5, 107) (dual of [(36, 5), 47, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,36P) 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(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 (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(3217, 75, F3, 5, 106) (dual of [(75, 5), 158, 107]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |