Information on Result #1075648
Linear OOA(322, 164, F3, 4, 6) (dual of [(164, 4), 634, 7]-NRT-code), using extracting embedded OOA based on digital (16, 22, 164)-net over F3, using
- trace code for nets [i] based on digital (5, 11, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(5,81) in PG(10,9)) 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
- base reduction for projective spaces (embedding PG(5,81) in PG(10,9)) for nets [i] based on digital (0, 6, 82)-net 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(323, 164, F3, 4, 6) (dual of [(164, 4), 633, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3143, 2097314, F3, 4, 13) (dual of [(2097314, 4), 8389113, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |