Information on Result #1555749
Linear OOA(8112, 313, F8, 3, 50) (dual of [(313, 3), 827, 51]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8112, 313, F8, 2, 50) (dual of [(313, 2), 514, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 322, F8, 2, 50) (dual of [(322, 2), 532, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (62, 112, 322)-net over F8, using
- trace code for nets [i] based on digital (6, 56, 161)-net over F64, using
- net from sequence [i] based on digital (6, 160)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 6 and N(F) ≥ 161, using
- net from sequence [i] based on digital (6, 160)-sequence over F64, using
- trace code for nets [i] based on digital (6, 56, 161)-net over F64, using
- extracting embedded OOA [i] based on digital (62, 112, 322)-net over F8, using
Mode: 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.