Information on Result #1156750
Linear OOA(270, 42, F2, 7, 28) (dual of [(42, 7), 224, 29]-NRT-code), using extracting embedded OOA based on digital (42, 70, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 35, 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(270, 42, F2, 7, 27) (dual of [(42, 7), 224, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(271, 42, F2, 7, 28) (dual of [(42, 7), 223, 29]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(273, 42, F2, 7, 28) (dual of [(42, 7), 221, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2178, 72, F2, 7, 57) (dual of [(72, 7), 326, 58]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |