Information on Result #654652
Linear OA(6491, 541, F64, 49) (dual of [541, 450, 50]-code), using construction X applied to AG(F,462P) ⊂ AG(F,477P) based on
- linear OA(6477, 512, F64, 49) (dual of [512, 435, 50]-code), using algebraic-geometric code AG(F,462P) [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(6462, 512, F64, 34) (dual of [512, 450, 35]-code), using algebraic-geometric code AG(F,477P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(6414, 29, F64, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), 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, 270, F64, 2, 49) (dual of [(270, 2), 449, 50]-NRT-code) | [i] | OOA Folding | |