Information on Result #1087341
Linear OOA(3237, 63, F3, 4, 182) (dual of [(63, 4), 15, 183]-NRT-code), using juxtaposition based on
- linear OOA(393, 27, F3, 4, 78) (dual of [(27, 4), 15, 79]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(393, 28, F3, 4, 78) (dual of [(28, 4), 19, 79]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,33P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(393, 28, F3, 4, 78) (dual of [(28, 4), 19, 79]-NRT-code), using
- linear OOA(3129, 36, F3, 4, 103) (dual of [(36, 4), 15, 104]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,40P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,20P) 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]
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(3237, 63, F3, 4, 181) (dual of [(63, 4), 15, 182]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3237, 63, F3, 4, 180) (dual of [(63, 4), 15, 181]-NRT-code) | [i] | ||
| 3 | Linear OOA(3237, 63, F3, 4, 179) (dual of [(63, 4), 15, 180]-NRT-code) | [i] | ||