Information on Result #1577797
Linear OOA(6459, 344, F64, 3, 35) (dual of [(344, 3), 973, 36]-NRT-code), using construction X applied to AG(3;F,987P) ⊂ AG(3;F,992P) based on
- linear OOA(6455, 341, F64, 3, 35) (dual of [(341, 3), 968, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,987P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OOA(6450, 341, F64, 3, 30) (dual of [(341, 3), 973, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,992P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (see above)
- linear OOA(644, 3, F64, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;188,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 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 | Digital (24, 59, 344)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |