Information on Result #654651
Linear OA(6489, 539, F64, 48) (dual of [539, 450, 49]-code), using construction X applied to AG(F,463P) ⊂ AG(F,477P) based on
- linear OA(6476, 512, F64, 48) (dual of [512, 436, 49]-code), using algebraic-geometric code AG(F,463P) [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(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(6489, 269, F64, 2, 48) (dual of [(269, 2), 449, 49]-NRT-code) | [i] | OOA Folding | |