Information on Result #1015873
Linear OOA(917, 328, F9, 3, 6) (dual of [(328, 3), 967, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- linear OOA(912, 164, F9, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, 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(918, 328, F9, 3, 6) (dual of [(328, 3), 966, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(9107, 5592730, F9, 3, 12) (dual of [(5592730, 3), 16778083, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(9115, 5592730, F9, 3, 13) (dual of [(5592730, 3), 16778075, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(917, 327, F9, 9, 6) (dual of [(327, 9), 2926, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |