Information on Result #654525
Linear OA(6490, 521, F64, 58) (dual of [521, 431, 59]-code), using construction X applied to AG(F,453P) ⊂ AG(F,458P) based on
- linear OA(6486, 512, F64, 58) (dual of [512, 426, 59]-code), using algebraic-geometric code AG(F,453P) [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(6481, 512, F64, 53) (dual of [512, 431, 54]-code), using algebraic-geometric code AG(F,458P) [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(32108, 521, S32, 58) | [i] | Discarding Parts of the Base for OAs | |
2 | Linear OOA(6490, 260, F64, 2, 58) (dual of [(260, 2), 430, 59]-NRT-code) | [i] | OOA Folding |