Information on Result #1046503
Linear OOA(6491, 522, F64, 3, 48) (dual of [(522, 3), 1475, 49]-NRT-code), using construction X applied to AG(3;F,1487P) ⊂ AG(3;F,1503P) based on
- linear OOA(6476, 512, F64, 3, 48) (dual of [(512, 3), 1460, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1487P) [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(6460, 512, F64, 3, 32) (dual of [(512, 3), 1476, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1503P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6415, 10, F64, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6415, 64, F64, 3, 15) (dual of [(64, 3), 177, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;177,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6415, 64, F64, 3, 15) (dual of [(64, 3), 177, 16]-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.