Information on Result #1011743
Linear OOA(419, 68, F4, 3, 7) (dual of [(68, 3), 185, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(45, 41, F4, 3, 3) (dual of [(41, 3), 118, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(45, 41, F4, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code), using
- linear OOA(414, 34, F4, 3, 7) (dual of [(34, 3), 88, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 7, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- trace code for nets [i] based on digital (0, 7, 17)-net over F16, using
- extracting embedded OOA [i] based on digital (7, 14, 34)-net over F4, 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(4140, 2796269, F4, 3, 14) (dual of [(2796269, 3), 8388667, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4152, 2796269, F4, 3, 15) (dual of [(2796269, 3), 8388655, 16]-NRT-code) | [i] | ||