Information on Result #1000524
Linear OOA(287, 135, F2, 3, 20) (dual of [(135, 3), 318, 21]-NRT-code), using extracting embedded OOA based on digital (67, 87, 135)-net over F2, using
- trace code for nets [i] based on digital (9, 29, 45)-net over F8, using
- net from sequence [i] based on digital (9, 44)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- net from sequence [i] based on digital (9, 44)-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(288, 135, F2, 3, 20) (dual of [(135, 3), 317, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(289, 135, F2, 3, 20) (dual of [(135, 3), 316, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(287, 67, F2, 5, 20) (dual of [(67, 5), 248, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(287, 67, F2, 6, 20) (dual of [(67, 6), 315, 21]-NRT-code) | [i] | ||