Information on Result #936587
Linear OOA(6471, 515, F64, 2, 40) (dual of [(515, 2), 959, 41]-NRT-code), using construction X applied to AG(2;F,983P) ⊂ AG(2;F,987P) based on
- linear OOA(6468, 512, F64, 2, 40) (dual of [(512, 2), 956, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,983P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OOA(6464, 512, F64, 2, 36) (dual of [(512, 2), 960, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,987P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
Mode: Constructive and 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(6471, 515, F64, 3, 40) (dual of [(515, 3), 1474, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (31, 71, 515)-net over F64 | [i] | ||