Information on Result #654475
Linear OA(6488, 517, F64, 58) (dual of [517, 429, 59]-code), using construction X applied to AG(F,453P) ⊂ AG(F,456P) 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(6483, 512, F64, 55) (dual of [512, 429, 56]-code), using algebraic-geometric code AG(F,456P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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, 517, S32, 58) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6488, 258, F64, 2, 58) (dual of [(258, 2), 428, 59]-NRT-code) | [i] | OOA Folding | |