Information on Result #1006894
Linear OOA(992, 740, F9, 3, 30) (dual of [(740, 3), 2128, 31]-NRT-code), using extracting embedded OOA based on digital (62, 92, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 46, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, 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(992, 740, F9, 3, 29) (dual of [(740, 3), 2128, 30]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(995, 741, F9, 3, 30) (dual of [(741, 3), 2128, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(998, 742, F9, 3, 30) (dual of [(742, 3), 2128, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(993, 740, F9, 3, 30) (dual of [(740, 3), 2127, 31]-NRT-code) | [i] | OOA Duplication | |