Information on Result #654479
Linear OA(6484, 517, F64, 54) (dual of [517, 433, 55]-code), using construction X applied to AG(F,457P) ⊂ AG(F,460P) based on
- linear OA(6482, 512, F64, 54) (dual of [512, 430, 55]-code), using algebraic-geometric code AG(F,457P) [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(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 | Linear OA(8168, 1034, F8, 54) (dual of [1034, 866, 55]-code) | [i] | Trace Code | |
| 2 | OA(32101, 517, S32, 54) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6484, 258, F64, 2, 54) (dual of [(258, 2), 432, 55]-NRT-code) | [i] | OOA Folding | |