Information on Result #1075288
Linear OOA(2166, 66, F2, 4, 68) (dual of [(66, 4), 98, 69]-NRT-code), using extracting embedded OOA based on digital (98, 166, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 83, 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(2166, 66, F2, 4, 67) (dual of [(66, 4), 98, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2170, 67, F2, 4, 68) (dual of [(67, 4), 98, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2174, 68, F2, 4, 68) (dual of [(68, 4), 98, 69]-NRT-code) | [i] | ||
| 4 | Linear OOA(2178, 69, F2, 4, 68) (dual of [(69, 4), 98, 69]-NRT-code) | [i] | ||
| 5 | Linear OOA(2182, 70, F2, 4, 68) (dual of [(70, 4), 98, 69]-NRT-code) | [i] | ||
| 6 | Linear OOA(2186, 71, F2, 4, 68) (dual of [(71, 4), 98, 69]-NRT-code) | [i] | ||
| 7 | Linear OOA(2167, 66, F2, 4, 68) (dual of [(66, 4), 97, 69]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2169, 66, F2, 4, 68) (dual of [(66, 4), 95, 69]-NRT-code) | [i] | ||
| 9 | Linear OOA(2166, 33, F2, 7, 68) (dual of [(33, 7), 65, 69]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2166, 33, F2, 8, 68) (dual of [(33, 8), 98, 69]-NRT-code) | [i] | ||