Information on Result #1006621
Linear OOA(912, 164, F9, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using extracting embedded OOA 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
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(913, 164, F9, 3, 6) (dual of [(164, 3), 479, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(916, 246, F9, 3, 6) (dual of [(246, 3), 722, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(917, 328, F9, 3, 6) (dual of [(328, 3), 967, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(936, 328, F9, 3, 12) (dual of [(328, 3), 948, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(938, 364, F9, 3, 12) (dual of [(364, 3), 1054, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(9102, 5592566, F9, 3, 12) (dual of [(5592566, 3), 16777596, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(938, 328, F9, 3, 13) (dual of [(328, 3), 946, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(940, 364, F9, 3, 13) (dual of [(364, 3), 1052, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(9110, 5592566, F9, 3, 13) (dual of [(5592566, 3), 16777588, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(920, 419, F9, 3, 6) (dual of [(419, 3), 1237, 7]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |