Information on Result #1046413
Linear OOA(6491, 516, F64, 3, 57) (dual of [(516, 3), 1457, 58]-NRT-code), using construction X applied to AG(3;F,1478P) ⊂ AG(3;F,1485P) based on
- linear OOA(6485, 512, F64, 3, 57) (dual of [(512, 3), 1451, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1478P) [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(6478, 512, F64, 3, 50) (dual of [(512, 3), 1458, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1485P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(646, 4, F64, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;186,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 7]-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.