Information on Result #1577564
Linear OOA(4953, 94, F49, 3, 46) (dual of [(94, 3), 229, 47]-NRT-code), using construction X applied to AG(3;F,226P) ⊂ AG(3;F,231P) based on
- linear OOA(4949, 91, F49, 3, 46) (dual of [(91, 3), 224, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,226P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4944, 91, F49, 3, 41) (dual of [(91, 3), 229, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,231P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(494, 3, F49, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(494, 49, F49, 3, 4) (dual of [(49, 3), 143, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;143,49) [i]
- discarding factors / shortening the dual code based on linear OOA(494, 49, F49, 3, 4) (dual of [(49, 3), 143, 5]-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(4953, 94, F49, 3, 45) (dual of [(94, 3), 229, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |