Information on Result #654527
Linear OA(6488, 521, F64, 56) (dual of [521, 433, 57]-code), using construction X applied to AG(F,455P) ⊂ AG(F,460P) based on
- linear OA(6484, 512, F64, 56) (dual of [512, 428, 57]-code), using algebraic-geometric code AG(F,455P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OA(6479, 512, F64, 51) (dual of [512, 433, 52]-code), using algebraic-geometric code AG(F,460P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (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 | OA(32106, 521, S32, 56) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6488, 260, F64, 2, 56) (dual of [(260, 2), 432, 57]-NRT-code) | [i] | OOA Folding | |