Information on Result #1046484
Linear OOA(6478, 519, F64, 3, 40) (dual of [(519, 3), 1479, 41]-NRT-code), using construction X applied to AG(3;F,1495P) ⊂ AG(3;F,1506P) based on
- linear OOA(6468, 512, F64, 3, 40) (dual of [(512, 3), 1468, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1495P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OOA(6457, 512, F64, 3, 29) (dual of [(512, 3), 1479, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1506P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6410, 7, F64, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;182,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), 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
None.