Information on Result #654649
Linear OA(6491, 539, F64, 50) (dual of [539, 448, 51]-code), using construction X applied to AG(F,461P) ⊂ AG(F,475P) based on
- linear OA(6478, 512, F64, 50) (dual of [512, 434, 51]-code), using algebraic-geometric code AG(F,461P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OA(6464, 512, F64, 36) (dual of [512, 448, 37]-code), using algebraic-geometric code AG(F,475P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(6413, 27, F64, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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(6491, 269, F64, 2, 50) (dual of [(269, 2), 447, 51]-NRT-code) | [i] | OOA Folding | |