Information on Result #887557
Linear OOA(342, 56, F3, 2, 18) (dual of [(56, 2), 70, 19]-NRT-code), using extracting embedded OOA based on digital (24, 42, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 21, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, 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(343, 56, F3, 2, 18) (dual of [(56, 2), 69, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(342, 28, F3, 4, 18) (dual of [(28, 4), 70, 19]-NRT-code) | [i] | OOA Folding | |