Information on Result #890651
Linear OOA(850, 354, F8, 2, 18) (dual of [(354, 2), 658, 19]-NRT-code), using extracting embedded OOA based on digital (32, 50, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 25, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, 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(852, 355, F8, 2, 18) (dual of [(355, 2), 658, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(854, 356, F8, 2, 18) (dual of [(356, 2), 658, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(851, 354, F8, 2, 18) (dual of [(354, 2), 657, 19]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(850, 177, F8, 3, 18) (dual of [(177, 3), 481, 19]-NRT-code) | [i] | OOA Folding | |