Information on Result #1814969
Digital (27, 66, 1027)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25666, 1027, F256, 2, 39) (dual of [(1027, 2), 1988, 40]-NRT-code), using
- construction X applied to AG(2;F,2008P) ⊂ AG(2;F,2012P) [i] based on
- linear OOA(25663, 1024, F256, 2, 39) (dual of [(1024, 2), 1985, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,2008P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OOA(25659, 1024, F256, 2, 35) (dual of [(1024, 2), 1989, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,2012P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025 (see above)
- linear OOA(2563, 3, F256, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 256, F256, 2, 3) (dual of [(256, 2), 509, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;509,256) [i]
- discarding factors / shortening the dual code based on linear OOA(2563, 256, F256, 2, 3) (dual of [(256, 2), 509, 4]-NRT-code), using
- linear OOA(25663, 1024, F256, 2, 39) (dual of [(1024, 2), 1985, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,2008P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.