Information on Result #929529
Linear OOA(1641, 74, F16, 2, 25) (dual of [(74, 2), 107, 26]-NRT-code), using construction X applied to AG(2;F,102P) ⊂ AG(2;F,113P) based on
- linear OOA(1631, 64, F16, 2, 25) (dual of [(64, 2), 97, 26]-NRT-code), using algebraic-geometric NRT-code AG(2;F,102P) [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(1620, 64, F16, 2, 14) (dual of [(64, 2), 108, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1610, 10, F16, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1610, 16, F16, 2, 10) (dual of [(16, 2), 22, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;22,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1610, 16, F16, 2, 10) (dual of [(16, 2), 22, 11]-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.