Information on Result #1000442
Linear OOA(270, 42, F2, 3, 28) (dual of [(42, 3), 56, 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, 3, 27) (dual of [(42, 3), 56, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(273, 43, F2, 3, 28) (dual of [(43, 3), 56, 29]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(271, 42, F2, 3, 28) (dual of [(42, 3), 55, 29]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2176, 80, F2, 3, 56) (dual of [(80, 3), 64, 57]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2176, 80, F2, 3, 57) (dual of [(80, 3), 64, 58]-NRT-code) | [i] | ||
| 6 | Linear OOA(2179, 82, F2, 3, 57) (dual of [(82, 3), 67, 58]-NRT-code) | [i] | ||
| 7 | Linear OOA(2175, 78, F2, 3, 57) (dual of [(78, 3), 59, 58]-NRT-code) | [i] | ||
| 8 | Linear OOA(2174, 78, F2, 3, 56) (dual of [(78, 3), 60, 57]-NRT-code) | [i] | ||
| 9 | Linear OOA(270, 21, F2, 5, 28) (dual of [(21, 5), 35, 29]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(270, 21, F2, 6, 28) (dual of [(21, 6), 56, 29]-NRT-code) | [i] | ||