Information on Result #930088
Linear OOA(16101, 82, F16, 2, 77) (dual of [(82, 2), 63, 78]-NRT-code), using construction X applied to AG(2;F,50P) ⊂ AG(2;F,68P) based on
- linear OOA(1683, 64, F16, 2, 77) (dual of [(64, 2), 45, 78]-NRT-code), using algebraic-geometric NRT-code AG(2;F,50P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1665, 64, F16, 2, 59) (dual of [(64, 2), 63, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,68P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1618, 18, F16, 2, 17) (dual of [(18, 2), 18, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1618, 24, F16, 2, 17) (dual of [(24, 2), 30, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1618, 24, F16, 2, 17) (dual of [(24, 2), 30, 18]-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.