Information on Result #1474686
Linear OOA(6458, 345, F64, 2, 34) (dual of [(345, 2), 632, 35]-NRT-code), using construction X applied to AG(2;F,647P) ⊂ AG(2;F,652P) based on
- linear OOA(6454, 341, F64, 2, 34) (dual of [(341, 2), 628, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,647P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OOA(6449, 341, F64, 2, 29) (dual of [(341, 2), 633, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,652P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 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(6458, 345, F64, 3, 34) (dual of [(345, 3), 977, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (24, 58, 345)-net over F64 | [i] | ||