Information on Result #1075624
Linear OOA(318, 84, F3, 4, 6) (dual of [(84, 4), 318, 7]-NRT-code), using extracting embedded OOA based on digital (12, 18, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 6, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 27)-sequence over F27, 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(319, 84, F3, 4, 6) (dual of [(84, 4), 317, 7]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3138, 2097234, F3, 4, 12) (dual of [(2097234, 4), 8388798, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3160, 2391572, F3, 4, 12) (dual of [(2391572, 4), 9566128, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3139, 2097234, F3, 4, 13) (dual of [(2097234, 4), 8388797, 14]-NRT-code) | [i] | ||