Information on Result #888314
Linear OOA(3192, 288, F3, 2, 53) (dual of [(288, 2), 384, 54]-NRT-code), using extracting embedded OOA based on digital (139, 192, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 64, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-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(3194, 289, F3, 2, 53) (dual of [(289, 2), 384, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3196, 290, F3, 2, 53) (dual of [(290, 2), 384, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(3198, 291, F3, 2, 53) (dual of [(291, 2), 384, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 292, F3, 2, 53) (dual of [(292, 2), 384, 54]-NRT-code) | [i] | ||
| 5 | Linear OOA(3193, 288, F3, 2, 53) (dual of [(288, 2), 383, 54]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3192, 144, F3, 3, 53) (dual of [(144, 3), 240, 54]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3192, 144, F3, 4, 53) (dual of [(144, 4), 384, 54]-NRT-code) | [i] | ||