Information on Result #654353
Linear OA(6488, 215, F64, 62) (dual of [215, 127, 63]-code), using construction X applied to AG(F,113P) ⊂ AG(F,133P) based on
- linear OA(6469, 176, F64, 62) (dual of [176, 107, 63]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6449, 176, F64, 42) (dual of [176, 127, 43]-code), using algebraic-geometric code AG(F,133P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6419, 39, F64, 19) (dual of [39, 20, 20]-code or 39-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), 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(32106, 215, S32, 62) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6488, 107, F64, 2, 62) (dual of [(107, 2), 126, 63]-NRT-code) | [i] | OOA Folding | |