Information on Result #654448
Linear OA(6474, 515, F64, 45) (dual of [515, 441, 46]-code), using construction X applied to AG(F,466P) ⊂ AG(F,468P) based on
- linear OA(6473, 512, F64, 45) (dual of [512, 439, 46]-code), using algebraic-geometric code AG(F,466P) [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(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 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8148, 1030, F8, 45) (dual of [1030, 882, 46]-code) | [i] | Trace Code | |
| 2 | Linear OA(6479, 533, F64, 45) (dual of [533, 454, 46]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OOA(6474, 257, F64, 2, 45) (dual of [(257, 2), 440, 46]-NRT-code) | [i] | OOA Folding | |