Information on Result #1466245
Linear OOA(1684, 642, F16, 2, 40) (dual of [(642, 2), 1200, 41]-NRT-code), using extracting embedded OOA based on digital (44, 84, 642)-net over F16, using
- trace code for nets [i] based on digital (2, 42, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
Mode: 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(1686, 643, F16, 2, 40) (dual of [(643, 2), 1200, 41]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(1688, 644, F16, 2, 40) (dual of [(644, 2), 1200, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(1685, 642, F16, 2, 40) (dual of [(642, 2), 1199, 41]-NRT-code) | [i] | OOA Duplication | |