Information on Result #889234
Linear OOA(4177, 531, F4, 2, 52) (dual of [(531, 2), 885, 53]-NRT-code), using extracting embedded OOA based on digital (125, 177, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 59, 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(4179, 532, F4, 2, 52) (dual of [(532, 2), 885, 53]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4181, 533, F4, 2, 52) (dual of [(533, 2), 885, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(4183, 534, F4, 2, 52) (dual of [(534, 2), 885, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(4185, 535, F4, 2, 52) (dual of [(535, 2), 885, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(4178, 531, F4, 2, 52) (dual of [(531, 2), 884, 53]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4204, 545, F4, 2, 52) (dual of [(545, 2), 886, 53]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4177, 265, F4, 3, 52) (dual of [(265, 3), 618, 53]-NRT-code) | [i] | OOA Folding | |