Information on Result #1086132
Linear OOA(3148, 40, F3, 4, 115) (dual of [(40, 4), 12, 116]-NRT-code), using repeating each code word 2 times based on linear OOA(368, 20, F3, 4, 57) (dual of [(20, 4), 12, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 68, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, 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(3148, 40, F3, 4, 114) (dual of [(40, 4), 12, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3148, 40, F3, 4, 113) (dual of [(40, 4), 12, 114]-NRT-code) | [i] | ||
| 3 | Linear OOA(3148, 40, F3, 4, 112) (dual of [(40, 4), 12, 113]-NRT-code) | [i] | ||