Information on Result #1046507
Linear OOA(6491, 523, F64, 3, 47) (dual of [(523, 3), 1478, 48]-NRT-code), using construction X applied to AG(3;F,1488P) ⊂ AG(3;F,1505P) based on
- linear OOA(6475, 512, F64, 3, 47) (dual of [(512, 3), 1461, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1488P) [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(6458, 512, F64, 3, 30) (dual of [(512, 3), 1478, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1505P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6416, 11, F64, 3, 16) (dual of [(11, 3), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 3, 16) (dual of [(64, 3), 176, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(3;176,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6416, 64, F64, 3, 16) (dual of [(64, 3), 176, 17]-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.