Information on Result #654213
Linear OA(6478, 207, F64, 56) (dual of [207, 129, 57]-code), using construction X applied to AG(F,119P) ⊂ AG(F,135P) based on
- linear OA(6463, 176, F64, 56) (dual of [176, 113, 57]-code), using algebraic-geometric code AG(F,119P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6447, 176, F64, 40) (dual of [176, 129, 41]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6415, 31, F64, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), 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(3294, 207, S32, 56) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6478, 103, F64, 2, 56) (dual of [(103, 2), 128, 57]-NRT-code) | [i] | OOA Folding | |