Information on Result #1075722
Linear OOA(333, 144, F3, 4, 9) (dual of [(144, 4), 543, 10]-NRT-code), using extracting embedded OOA based on digital (24, 33, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 11, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-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(3213, 2097294, F3, 4, 18) (dual of [(2097294, 4), 8388963, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3214, 2097294, F3, 4, 19) (dual of [(2097294, 4), 8388962, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(333, 143, F3, 5, 9) (dual of [(143, 5), 682, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |