Information on Result #1577726
Linear OOA(4951, 100, F49, 3, 35) (dual of [(100, 3), 249, 36]-NRT-code), using construction X applied to AG(3;F,237P) ⊂ AG(3;F,251P) based on
- linear OOA(4938, 91, F49, 3, 35) (dual of [(91, 3), 235, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,237P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4924, 91, F49, 3, 21) (dual of [(91, 3), 249, 22]-NRT-code), using algebraic-geometric NRT-code AG(3;F,251P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(4913, 9, F49, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 3, 13) (dual of [(49, 3), 134, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;134,49) [i]
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 3, 13) (dual of [(49, 3), 134, 14]-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 | Digital (16, 51, 93)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |