Information on Result #654115
Linear OA(6488, 203, F64, 68) (dual of [203, 115, 69]-code), using construction X applied to AG(F,107P) ⊂ AG(F,121P) based on
- linear OA(6475, 176, F64, 68) (dual of [176, 101, 69]-code), using algebraic-geometric code AG(F,107P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6461, 176, F64, 54) (dual of [176, 115, 55]-code), using algebraic-geometric code AG(F,121P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6413, 27, F64, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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, 203, S32, 68) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6488, 101, F64, 2, 68) (dual of [(101, 2), 114, 69]-NRT-code) | [i] | OOA Folding | |