Information on Result #889431
Linear OOA(4242, 450, F4, 2, 81) (dual of [(450, 2), 658, 82]-NRT-code), using extracting embedded OOA based on digital (161, 242, 450)-net over F4, using
- trace code for nets [i] based on digital (40, 121, 225)-net over F16, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, 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(4244, 451, F4, 2, 81) (dual of [(451, 2), 658, 82]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4246, 452, F4, 2, 81) (dual of [(452, 2), 658, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(4243, 450, F4, 2, 81) (dual of [(450, 2), 657, 82]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4242, 225, F4, 3, 81) (dual of [(225, 3), 433, 82]-NRT-code) | [i] | OOA Folding | |