Information on Result #1577670
Linear OOA(4941, 96, F49, 3, 31) (dual of [(96, 3), 247, 32]-NRT-code), using construction X applied to AG(3;F,241P) ⊂ AG(3;F,249P) based on
- linear OOA(4934, 91, F49, 3, 31) (dual of [(91, 3), 239, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,241P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4926, 91, F49, 3, 23) (dual of [(91, 3), 247, 24]-NRT-code), using algebraic-geometric NRT-code AG(3;F,249P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(497, 5, F49, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(497, 49, F49, 3, 7) (dual of [(49, 3), 140, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;140,49) [i]
- discarding factors / shortening the dual code based on linear OOA(497, 49, F49, 3, 7) (dual of [(49, 3), 140, 8]-NRT-code), using
Mode: 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(4941, 96, F49, 3, 30) (dual of [(96, 3), 247, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |