Information on Result #654251
Linear OA(6481, 209, F64, 58) (dual of [209, 128, 59]-code), using construction X applied to AG(F,117P) ⊂ AG(F,134P) based on
- linear OA(6465, 176, F64, 58) (dual of [176, 111, 59]-code), using algebraic-geometric code AG(F,117P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6448, 176, F64, 41) (dual of [176, 128, 42]-code), using algebraic-geometric code AG(F,134P) [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 | Linear OOA(6481, 104, F64, 2, 58) (dual of [(104, 2), 127, 59]-NRT-code) | [i] | OOA Folding | |