Information on Result #654159
Linear OA(6489, 205, F64, 68) (dual of [205, 116, 69]-code), using construction X applied to AG(F,107P) ⊂ AG(F,122P) 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(6460, 176, F64, 53) (dual of [176, 116, 54]-code), using algebraic-geometric code AG(F,122P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6414, 29, F64, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), 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(32107, 205, S32, 68) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6489, 102, F64, 2, 68) (dual of [(102, 2), 115, 69]-NRT-code) | [i] | OOA Folding | |