Information on Result #941479
Linear OOA(1683, 133, F16, 2, 45) (dual of [(133, 2), 183, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1628, 65, F16, 2, 22) (dual of [(65, 2), 102, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,107P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,107P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1655, 68, F16, 2, 45) (dual of [(68, 2), 81, 46]-NRT-code), using
- construction X applied to AG(2;F,82P) ⊂ AG(2;F,87P) [i] based on
- linear OOA(1651, 64, F16, 2, 45) (dual of [(64, 2), 77, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1646, 64, F16, 2, 40) (dual of [(64, 2), 82, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,87P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(164, 4, F16, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;28,16) [i]
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 5]-NRT-code), using
- construction X applied to AG(2;F,82P) ⊂ AG(2;F,87P) [i] based on
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.