Information on Result #654551
Linear OA(6486, 523, F64, 53) (dual of [523, 437, 54]-code), using construction X applied to AG(F,458P) ⊂ AG(F,464P) based on
- 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, using
- the Hermitian function field over F64 [i]
- linear OA(6475, 512, F64, 47) (dual of [512, 437, 48]-code), using algebraic-geometric code AG(F,464P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(645, 11, F64, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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(8172, 1046, F8, 53) (dual of [1046, 874, 54]-code) | [i] | Trace Code | |
| 2 | Linear OOA(6486, 261, F64, 2, 53) (dual of [(261, 2), 436, 54]-NRT-code) | [i] | OOA Folding | |