Information on Result #1000518
Linear OOA(286, 66, F2, 3, 28) (dual of [(66, 3), 112, 29]-NRT-code), using extracting embedded OOA based on digital (58, 86, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 43, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, 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(286, 66, F2, 3, 27) (dual of [(66, 3), 112, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(289, 67, F2, 3, 28) (dual of [(67, 3), 112, 29]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(292, 68, F2, 3, 28) (dual of [(68, 3), 112, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(287, 66, F2, 3, 28) (dual of [(66, 3), 111, 29]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(286, 33, F2, 5, 28) (dual of [(33, 5), 79, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(286, 33, F2, 6, 28) (dual of [(33, 6), 112, 29]-NRT-code) | [i] | ||