Information on Result #1474456
Linear OOA(4948, 104, F49, 2, 32) (dual of [(104, 2), 160, 33]-NRT-code), using construction X applied to AG(2;F,149P) ⊂ AG(2;F,163P) based on
- linear OOA(4935, 91, F49, 2, 32) (dual of [(91, 2), 147, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,149P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OOA(4921, 91, F49, 2, 18) (dual of [(91, 2), 161, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,163P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OOA(4913, 13, F49, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 2, 13) (dual of [(49, 2), 85, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;85,49) [i]
- discarding factors / shortening the dual code based on linear OOA(4913, 49, F49, 2, 13) (dual of [(49, 2), 85, 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 | Linear OOA(4948, 104, F49, 3, 32) (dual of [(104, 3), 264, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (16, 48, 104)-net over F49 | [i] | ||