Information on Result #887663
Linear OOA(363, 114, F3, 2, 20) (dual of [(114, 2), 165, 21]-NRT-code), using extracting embedded OOA based on digital (43, 63, 114)-net over F3, using
- trace code for nets [i] based on digital (1, 21, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-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(365, 115, F3, 2, 20) (dual of [(115, 2), 165, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(364, 114, F3, 2, 20) (dual of [(114, 2), 164, 21]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(363, 57, F3, 3, 20) (dual of [(57, 3), 108, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(363, 57, F3, 4, 20) (dual of [(57, 4), 165, 21]-NRT-code) | [i] | ||