Information on Result #654638
Linear OA(6489, 535, F64, 50) (dual of [535, 446, 51]-code), using construction X applied to AG(F,461P) ⊂ AG(F,473P) 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(6466, 512, F64, 38) (dual of [512, 446, 39]-code), using algebraic-geometric code AG(F,473P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(6411, 23, F64, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,64)), using
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
- Reed–Solomon code RS(53,64) [i]
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), 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, 267, F64, 2, 50) (dual of [(267, 2), 445, 51]-NRT-code) | [i] | OOA Folding | |