Information on Result #1001210
Linear OOA(326, 56, F3, 3, 10) (dual of [(56, 3), 142, 11]-NRT-code), using extracting embedded OOA based on digital (16, 26, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 13, 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(327, 56, F3, 3, 10) (dual of [(56, 3), 141, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3222, 2796257, F3, 3, 20) (dual of [(2796257, 3), 8388549, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3236, 2796257, F3, 3, 21) (dual of [(2796257, 3), 8388535, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(326, 28, F3, 5, 10) (dual of [(28, 5), 114, 11]-NRT-code) | [i] | OOA Folding | |