Information on Result #1560643
Linear OOA(989, 266, F9, 3, 41) (dual of [(266, 3), 709, 42]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(989, 266, F9, 2, 41) (dual of [(266, 2), 443, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(989, 272, F9, 2, 41) (dual of [(272, 2), 455, 42]-NRT-code), using
- 91 times duplication [i] based on linear OOA(988, 272, F9, 2, 41) (dual of [(272, 2), 456, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (47, 88, 272)-net over F9, using
- trace code for nets [i] based on digital (3, 44, 136)-net over F81, using
- net from sequence [i] based on digital (3, 135)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 3 and N(F) ≥ 136, using
- net from sequence [i] based on digital (3, 135)-sequence over F81, using
- trace code for nets [i] based on digital (3, 44, 136)-net over F81, using
- extracting embedded OOA [i] based on digital (47, 88, 272)-net over F9, using
- 91 times duplication [i] based on linear OOA(988, 272, F9, 2, 41) (dual of [(272, 2), 456, 42]-NRT-code), 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.