Information on Result #654260
Linear OA(6472, 209, F64, 49) (dual of [209, 137, 50]-code), using construction X applied to AG(F,126P) ⊂ AG(F,143P) based on
- linear OA(6456, 176, F64, 49) (dual of [176, 120, 50]-code), using algebraic-geometric code AG(F,126P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6439, 176, F64, 32) (dual of [176, 137, 33]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6416, 33, F64, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,64)), using
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- Reed–Solomon code RS(48,64) [i]
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), 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 | OA(3287, 209, S32, 49) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6472, 104, F64, 2, 49) (dual of [(104, 2), 136, 50]-NRT-code) | [i] | OOA Folding | |