Information on Result #654626
Linear OA(6491, 533, F64, 53) (dual of [533, 442, 54]-code), using construction X applied to AG(F,458P) ⊂ AG(F,469P) 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(6470, 512, F64, 42) (dual of [512, 442, 43]-code), using algebraic-geometric code AG(F,469P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(6410, 21, F64, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), 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 OOA(6491, 266, F64, 2, 53) (dual of [(266, 2), 441, 54]-NRT-code) | [i] | OOA Folding | |