Information on Result #1074719
Linear OOA(268, 34, F2, 4, 29) (dual of [(34, 4), 68, 30]-NRT-code), using extracting embedded OOA based on digital (39, 68, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 34, 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(268, 34, F2, 4, 28) (dual of [(34, 4), 68, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(269, 34, F2, 4, 29) (dual of [(34, 4), 67, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(271, 34, F2, 4, 29) (dual of [(34, 4), 65, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2180, 76, F2, 4, 58) (dual of [(76, 4), 124, 59]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2181, 76, F2, 4, 59) (dual of [(76, 4), 123, 60]-NRT-code) | [i] | ||
| 6 | Linear OOA(268, 17, F2, 7, 29) (dual of [(17, 7), 51, 30]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(268, 17, F2, 8, 29) (dual of [(17, 8), 68, 30]-NRT-code) | [i] | ||