Information on Result #887532
Linear OOA(334, 164, F3, 2, 9) (dual of [(164, 2), 294, 10]-NRT-code), using extracting embedded OOA based on digital (25, 34, 164)-net over F3, using
- trace code for nets [i] based on digital (8, 17, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(8,81) in PG(16,9)) for nets [i] based on digital (0, 9, 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(8,81) in PG(16,9)) for nets [i] based on digital (0, 9, 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(3214, 4194465, F3, 2, 18) (dual of [(4194465, 2), 8388716, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3215, 4194465, F3, 2, 19) (dual of [(4194465, 2), 8388715, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(334, 82, F3, 4, 9) (dual of [(82, 4), 294, 10]-NRT-code) | [i] | OOA Folding | |