Information on Result #887968
Linear OOA(3123, 192, F3, 2, 37) (dual of [(192, 2), 261, 38]-NRT-code), using extracting embedded OOA based on digital (86, 123, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 41, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-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(3125, 193, F3, 2, 37) (dual of [(193, 2), 261, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3124, 192, F3, 2, 37) (dual of [(192, 2), 260, 38]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3123, 96, F3, 3, 37) (dual of [(96, 3), 165, 38]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3123, 96, F3, 4, 37) (dual of [(96, 4), 261, 38]-NRT-code) | [i] | ||