Information on Result #1129641
Linear OOA(3245, 86, F3, 5, 113) (dual of [(86, 5), 185, 114]-NRT-code), using (u, u+v)-construction based on
- linear OOA(387, 38, F3, 5, 56) (dual of [(38, 5), 103, 57]-NRT-code), using
- construction X applied to AG(5;F,61P) ⊂ AG(5;F,64P) [i] based on
- linear OOA(383, 36, F3, 5, 57) (dual of [(36, 5), 97, 58]-NRT-code), using algebraic-geometric NRT-code AG(5;F,61P) 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(377, 36, F3, 5, 51) (dual of [(36, 5), 103, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) 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
- construction X applied to AG(5;F,61P) ⊂ AG(5;F,64P) [i] based on
- linear OOA(3158, 48, F3, 5, 113) (dual of [(48, 5), 82, 114]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,126P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, 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(3245, 86, F3, 5, 112) (dual of [(86, 5), 185, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3246, 86, F3, 5, 113) (dual of [(86, 5), 184, 114]-NRT-code) | [i] | OOA Duplication | |