Information on Result #891046
Linear OOA(97, 82, F9, 2, 4) (dual of [(82, 2), 157, 5]-NRT-code), using extracting embedded OOA based on digital (3, 7, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets [i] based on digital (0, 4, 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(947, 29606, F9, 2, 9) (dual of [(29606, 2), 59165, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(963, 2391566, F9, 2, 9) (dual of [(2391566, 2), 4783069, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(97, 81, F9, 3, 4) (dual of [(81, 3), 236, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |