Information on Result #1046487
Linear OOA(6489, 520, F64, 3, 49) (dual of [(520, 3), 1471, 50]-NRT-code), using construction X applied to AG(3;F,1486P) ⊂ AG(3;F,1499P) based on
- linear OOA(6477, 512, F64, 3, 49) (dual of [(512, 3), 1459, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1486P) [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(6464, 512, F64, 3, 36) (dual of [(512, 3), 1472, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1499P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6412, 8, F64, 3, 12) (dual of [(8, 3), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 3, 12) (dual of [(64, 3), 180, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;180,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 3, 12) (dual of [(64, 3), 180, 13]-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.