Information on Result #654477
Linear OA(6486, 517, F64, 56) (dual of [517, 431, 57]-code), using construction X applied to AG(F,455P) ⊂ AG(F,458P) based on
- linear OA(6484, 512, F64, 56) (dual of [512, 428, 57]-code), using algebraic-geometric code AG(F,455P) [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(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(8172, 1034, F8, 56) (dual of [1034, 862, 57]-code) | [i] | Trace Code | |
| 2 | Linear OOA(6486, 258, F64, 2, 56) (dual of [(258, 2), 430, 57]-NRT-code) | [i] | OOA Folding | |