Information on Result #1074747
Linear OOA(272, 75, F2, 4, 20) (dual of [(75, 4), 228, 21]-NRT-code), using extracting embedded OOA based on digital (52, 72, 75)-net over F2, using
- trace code for nets [i] based on digital (4, 24, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, 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(273, 75, F2, 4, 20) (dual of [(75, 4), 227, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(274, 75, F2, 4, 20) (dual of [(75, 4), 226, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(272, 37, F2, 7, 20) (dual of [(37, 7), 187, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(272, 37, F2, 8, 20) (dual of [(37, 8), 224, 21]-NRT-code) | [i] | ||