Information on Result #936641
Linear OOA(6476, 517, F64, 2, 43) (dual of [(517, 2), 958, 44]-NRT-code), using construction X applied to AG(2;F,980P) ⊂ AG(2;F,986P) based on
- linear OOA(6471, 512, F64, 2, 43) (dual of [(512, 2), 953, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,980P) [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(6465, 512, F64, 2, 37) (dual of [(512, 2), 959, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(645, 5, F64, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(645, 64, F64, 2, 5) (dual of [(64, 2), 123, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;123,64) [i]
- discarding factors / shortening the dual code based on linear OOA(645, 64, F64, 2, 5) (dual of [(64, 2), 123, 6]-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(6476, 517, F64, 3, 43) (dual of [(517, 3), 1475, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (33, 76, 517)-net over F64 | [i] | ||