Information on Result #941485
Linear OOA(1688, 132, F16, 2, 49) (dual of [(132, 2), 176, 50]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1630, 65, F16, 2, 24) (dual of [(65, 2), 100, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,105P) [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,105P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1658, 67, F16, 2, 49) (dual of [(67, 2), 76, 50]-NRT-code), using
- construction X applied to AG(2;F,78P) ⊂ AG(2;F,82P) [i] based on
- linear OOA(1655, 64, F16, 2, 49) (dual of [(64, 2), 73, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,78P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- 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(163, 3, F16, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;29,16) [i]
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-NRT-code), using
- construction X applied to AG(2;F,78P) ⊂ AG(2;F,82P) [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.