Information on Result #660350
Linear OA(8146, 1034, F8, 43) (dual of [1034, 888, 44]-code), using trace code based on linear OA(6473, 517, F64, 43) (dual of [517, 444, 44]-code), using
- construction X applied to AG(F,468P) ⊂ AG(F,471P) [i] based on
- linear OA(6471, 512, F64, 43) (dual of [512, 441, 44]-code), using algebraic-geometric code AG(F,468P) [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(6468, 512, F64, 40) (dual of [512, 444, 41]-code), using algebraic-geometric code AG(F,471P) [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
- linear OA(6471, 512, F64, 43) (dual of [512, 441, 44]-code), using algebraic-geometric code AG(F,468P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, 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(8147, 1035, F8, 43) (dual of [1035, 888, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8146, 517, F8, 2, 43) (dual of [(517, 2), 888, 44]-NRT-code) | [i] | OOA Folding | |