Information on Result #1802162
Digital (49, 89, 643)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(1689, 643, F16, 2, 40) (dual of [(643, 2), 1197, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1689, 644, F16, 2, 40) (dual of [(644, 2), 1199, 41]-NRT-code), using
- 161 times duplication [i] based on linear OOA(1688, 644, F16, 2, 40) (dual of [(644, 2), 1200, 41]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(1684, 642, F16, 2, 40) (dual of [(642, 2), 1200, 41]-NRT-code), using
- extracting embedded OOA [i] based on digital (44, 84, 642)-net over F16, using
- trace code for nets [i] based on digital (2, 42, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- trace code for nets [i] based on digital (2, 42, 321)-net over F256, using
- extracting embedded OOA [i] based on digital (44, 84, 642)-net over F16, using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(1684, 642, F16, 2, 40) (dual of [(642, 2), 1200, 41]-NRT-code), using
- 161 times duplication [i] based on linear OOA(1688, 644, F16, 2, 40) (dual of [(644, 2), 1200, 41]-NRT-code), 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.