Information on Result #1000458
Linear OOA(274, 42, F2, 3, 30) (dual of [(42, 3), 52, 31]-NRT-code), using extracting embedded OOA based on digital (44, 74, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 37, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-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(274, 42, F2, 3, 29) (dual of [(42, 3), 52, 30]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(277, 43, F2, 3, 30) (dual of [(43, 3), 52, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(275, 42, F2, 3, 30) (dual of [(42, 3), 51, 31]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2183, 80, F2, 3, 60) (dual of [(80, 3), 57, 61]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2181, 76, F2, 3, 61) (dual of [(76, 3), 47, 62]-NRT-code) | [i] | ||
| 6 | Linear OOA(2184, 78, F2, 3, 61) (dual of [(78, 3), 50, 62]-NRT-code) | [i] | ||
| 7 | Linear OOA(274, 21, F2, 5, 30) (dual of [(21, 5), 31, 31]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(274, 21, F2, 6, 30) (dual of [(21, 6), 52, 31]-NRT-code) | [i] | ||