Information on Result #1000698
Linear OOA(2122, 66, F2, 3, 46) (dual of [(66, 3), 76, 47]-NRT-code), using extracting embedded OOA based on digital (76, 122, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 61, 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(2122, 66, F2, 3, 45) (dual of [(66, 3), 76, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2123, 66, F2, 3, 46) (dual of [(66, 3), 75, 47]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2145, 74, F2, 3, 46) (dual of [(74, 3), 77, 47]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2122, 33, F2, 5, 46) (dual of [(33, 5), 43, 47]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2122, 33, F2, 6, 46) (dual of [(33, 6), 76, 47]-NRT-code) | [i] | ||