Information on Result #653652
Linear OA(6463, 185, F64, 52) (dual of [185, 122, 53]-code), using construction X applied to AG(F,123P) ⊂ AG(F,128P) based on
- linear OA(6459, 176, F64, 52) (dual of [176, 117, 53]-code), using algebraic-geometric code AG(F,123P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6454, 176, F64, 47) (dual of [176, 122, 48]-code), using algebraic-geometric code AG(F,128P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(644, 9, F64, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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 OA(4189, 555, F4, 52) (dual of [555, 366, 53]-code) | [i] | Trace Code | |
| 2 | Linear OA(8126, 370, F8, 52) (dual of [370, 244, 53]-code) | [i] | ||
| 3 | OA(3276, 185, S32, 52) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6463, 92, F64, 2, 52) (dual of [(92, 2), 121, 53]-NRT-code) | [i] | OOA Folding | |