Information on Result #1000621
Linear OOA(2108, 66, F2, 3, 39) (dual of [(66, 3), 90, 40]-NRT-code), using extracting embedded OOA based on digital (69, 108, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 54, 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(2108, 66, F2, 3, 38) (dual of [(66, 3), 90, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2111, 67, F2, 3, 39) (dual of [(67, 3), 90, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2114, 68, F2, 3, 39) (dual of [(68, 3), 90, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(2109, 66, F2, 3, 39) (dual of [(66, 3), 89, 40]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2128, 73, F2, 3, 39) (dual of [(73, 3), 91, 40]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2108, 33, F2, 5, 39) (dual of [(33, 5), 57, 40]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2108, 33, F2, 6, 39) (dual of [(33, 6), 90, 40]-NRT-code) | [i] | ||