Information on Result #653825
Linear OA(6471, 191, F64, 57) (dual of [191, 120, 58]-code), using construction X applied to AG(F,118P) ⊂ AG(F,126P) based on
- linear OA(6464, 176, F64, 57) (dual of [176, 112, 58]-code), using algebraic-geometric code AG(F,118P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6456, 176, F64, 49) (dual of [176, 120, 50]-code), using algebraic-geometric code AG(F,126P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(647, 15, F64, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,64)), using
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
- Reed–Solomon code RS(57,64) [i]
- discarding factors / shortening the dual code based on linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), 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(8142, 382, F8, 57) (dual of [382, 240, 58]-code) | [i] | Trace Code | |
| 2 | Linear OOA(6471, 95, F64, 2, 57) (dual of [(95, 2), 119, 58]-NRT-code) | [i] | OOA Folding | |