Information on Result #654357
Linear OA(6484, 215, F64, 58) (dual of [215, 131, 59]-code), using construction X applied to AG(F,117P) ⊂ AG(F,137P) 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(6445, 176, F64, 38) (dual of [176, 131, 39]-code), using algebraic-geometric code AG(F,137P) [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(32101, 215, S32, 58) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6484, 107, F64, 2, 58) (dual of [(107, 2), 130, 59]-NRT-code) | [i] | OOA Folding | |