Information on Result #1129629
Linear OOA(3236, 86, F3, 5, 107) (dual of [(86, 5), 194, 108]-NRT-code), using (u, u+v)-construction based on
- linear OOA(384, 38, F3, 5, 53) (dual of [(38, 5), 106, 54]-NRT-code), using
- construction X applied to AG(5;F,63P) ⊂ AG(5;F,66P) [i] based on
- linear OOA(379, 36, F3, 5, 53) (dual of [(36, 5), 101, 54]-NRT-code), using algebraic-geometric NRT-code AG(5;F,63P) 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(373, 36, F3, 5, 47) (dual of [(36, 5), 107, 48]-NRT-code), using algebraic-geometric NRT-code AG(5;F,66P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(35, 2, F3, 5, 5) (dual of [(2, 5), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 3, F3, 5, 5) (dual of [(3, 5), 10, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(5;10,3) [i]
- discarding factors / shortening the dual code based on linear OOA(35, 3, F3, 5, 5) (dual of [(3, 5), 10, 6]-NRT-code), using
- construction X applied to AG(5;F,63P) ⊂ AG(5;F,66P) [i] based on
- linear OOA(3152, 48, F3, 5, 107) (dual of [(48, 5), 88, 108]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,132P) [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(3236, 86, F3, 5, 106) (dual of [(86, 5), 194, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3237, 86, F3, 5, 107) (dual of [(86, 5), 193, 108]-NRT-code) | [i] | OOA Duplication | |