Information on Result #936661
Linear OOA(6479, 518, F64, 2, 45) (dual of [(518, 2), 957, 46]-NRT-code), using construction X applied to AG(2;F,978P) ⊂ AG(2;F,985P) based on
- linear OOA(6473, 512, F64, 2, 45) (dual of [(512, 2), 951, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,978P) [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(6466, 512, F64, 2, 38) (dual of [(512, 2), 958, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,985P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(646, 6, F64, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;122,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-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 | Digital (34, 79, 516)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6479, 259, F64, 3, 45) (dual of [(259, 3), 698, 46]-NRT-code) | [i] | OOA Folding | |