Information on Result #906147
Linear OOA(373, 39, F3, 2, 51) (dual of [(39, 2), 5, 52]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(322, 13, F3, 2, 17) (dual of [(13, 2), 4, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 22, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- extracting embedded OOA [i] based on digital (5, 22, 13)-net over F3, using
- linear OOA(325, 13, F3, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
- dual of repetition NRT-code with length 13 [i]
- linear OOA(326, 13, F3, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3151, 78, F3, 2, 103) (dual of [(78, 2), 5, 104]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(387, 46, F3, 2, 60) (dual of [(46, 2), 5, 61]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(397, 51, F3, 2, 67) (dual of [(51, 2), 5, 68]-NRT-code) | [i] | ||