Information on Result #1075647
Linear OOA(322, 56, F3, 4, 8) (dual of [(56, 4), 202, 9]-NRT-code), using extracting embedded OOA based on digital (14, 22, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 11, 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(323, 56, F3, 4, 8) (dual of [(56, 4), 201, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3173, 2097206, F3, 4, 16) (dual of [(2097206, 4), 8388651, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3188, 2097206, F3, 4, 17) (dual of [(2097206, 4), 8388636, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(322, 55, F3, 5, 8) (dual of [(55, 5), 253, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |