Information on Result #930328
Linear OOA(16104, 85, F16, 2, 77) (dual of [(85, 2), 66, 78]-NRT-code), using construction X applied to AG(2;F,50P) ⊂ AG(2;F,71P) 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(1662, 64, F16, 2, 56) (dual of [(64, 2), 66, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,71P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1621, 21, F16, 2, 20) (dual of [(21, 2), 21, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1621, 24, F16, 2, 20) (dual of [(24, 2), 27, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [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(1621, 24, F16, 2, 20) (dual of [(24, 2), 27, 21]-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.