Information on Result #890624
Linear OOA(844, 208, F8, 2, 19) (dual of [(208, 2), 372, 20]-NRT-code), using extracting embedded OOA based on digital (25, 44, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 22, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-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(846, 209, F8, 2, 19) (dual of [(209, 2), 372, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(845, 208, F8, 2, 19) (dual of [(208, 2), 371, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8126, 416, F8, 2, 38) (dual of [(416, 2), 706, 39]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8130, 464, F8, 2, 38) (dual of [(464, 2), 798, 39]-NRT-code) | [i] | ||
| 5 | Linear OOA(8128, 416, F8, 2, 39) (dual of [(416, 2), 704, 40]-NRT-code) | [i] | ||
| 6 | Linear OOA(8132, 464, F8, 2, 39) (dual of [(464, 2), 796, 40]-NRT-code) | [i] | ||
| 7 | Linear OOA(844, 104, F8, 3, 19) (dual of [(104, 3), 268, 20]-NRT-code) | [i] | OOA Folding | |