Information on Result #1003479
Linear OOA(4189, 531, F4, 3, 56) (dual of [(531, 3), 1404, 57]-NRT-code), using extracting embedded OOA based on digital (133, 189, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 63, 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(4192, 532, F4, 3, 56) (dual of [(532, 3), 1404, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4195, 533, F4, 3, 56) (dual of [(533, 3), 1404, 57]-NRT-code) | [i] | ||
| 3 | Linear OOA(4198, 534, F4, 3, 56) (dual of [(534, 3), 1404, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(4190, 531, F4, 3, 56) (dual of [(531, 3), 1403, 57]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4191, 531, F4, 3, 56) (dual of [(531, 3), 1402, 57]-NRT-code) | [i] | ||
| 6 | Linear OOA(4218, 541, F4, 3, 56) (dual of [(541, 3), 1405, 57]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4220, 545, F4, 3, 56) (dual of [(545, 3), 1415, 57]-NRT-code) | [i] | ||
| 8 | Linear OOA(4221, 546, F4, 3, 56) (dual of [(546, 3), 1417, 57]-NRT-code) | [i] | ||
| 9 | Linear OOA(4222, 548, F4, 3, 56) (dual of [(548, 3), 1422, 57]-NRT-code) | [i] | ||