Information on Result #1172680
Linear OOA(278, 34, F2, 8, 34) (dual of [(34, 8), 194, 35]-NRT-code), using extracting embedded OOA based on digital (44, 78, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 39, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-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(278, 34, F2, 8, 33) (dual of [(34, 8), 194, 34]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(279, 34, F2, 8, 34) (dual of [(34, 8), 193, 35]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2200, 76, F2, 8, 68) (dual of [(76, 8), 408, 69]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2201, 76, F2, 8, 69) (dual of [(76, 8), 407, 70]-NRT-code) | [i] | ||