Information on Result #890669
Linear OOA(854, 354, F8, 2, 20) (dual of [(354, 2), 654, 21]-NRT-code), using extracting embedded OOA based on digital (34, 54, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 27, 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(856, 355, F8, 2, 20) (dual of [(355, 2), 654, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
2 | Linear OOA(858, 356, F8, 2, 20) (dual of [(356, 2), 654, 21]-NRT-code) | [i] | ||
3 | Linear OOA(855, 354, F8, 2, 20) (dual of [(354, 2), 653, 21]-NRT-code) | [i] | OOA Duplication | |
4 | Linear OOA(864, 363, F8, 2, 20) (dual of [(363, 2), 662, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
5 | Linear OOA(865, 368, F8, 2, 20) (dual of [(368, 2), 671, 21]-NRT-code) | [i] | ||
6 | Linear OOA(866, 371, F8, 2, 20) (dual of [(371, 2), 676, 21]-NRT-code) | [i] | ||
7 | Linear OOA(854, 177, F8, 3, 20) (dual of [(177, 3), 477, 21]-NRT-code) | [i] | OOA Folding |