Information on Result #654616
Linear OA(6489, 531, F64, 52) (dual of [531, 442, 53]-code), using construction X applied to AG(F,459P) ⊂ AG(F,469P) based on
- linear OA(6480, 512, F64, 52) (dual of [512, 432, 53]-code), using algebraic-geometric code AG(F,459P) [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(6470, 512, F64, 42) (dual of [512, 442, 43]-code), using algebraic-geometric code AG(F,469P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(649, 19, F64, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), 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, 265, F64, 2, 52) (dual of [(265, 2), 441, 53]-NRT-code) | [i] | OOA Folding | |