Information on Result #889223
Linear OOA(4174, 531, F4, 2, 51) (dual of [(531, 2), 888, 52]-NRT-code), using extracting embedded OOA based on digital (123, 174, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 58, 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(4176, 532, F4, 2, 51) (dual of [(532, 2), 888, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
2 | Linear OOA(4178, 533, F4, 2, 51) (dual of [(533, 2), 888, 52]-NRT-code) | [i] | ||
3 | Linear OOA(4180, 534, F4, 2, 51) (dual of [(534, 2), 888, 52]-NRT-code) | [i] | ||
4 | Linear OOA(4182, 535, F4, 2, 51) (dual of [(535, 2), 888, 52]-NRT-code) | [i] | ||
5 | Linear OOA(4175, 531, F4, 2, 51) (dual of [(531, 2), 887, 52]-NRT-code) | [i] | OOA Duplication | |
6 | Linear OOA(4199, 544, F4, 2, 51) (dual of [(544, 2), 889, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
7 | Linear OOA(4174, 265, F4, 3, 51) (dual of [(265, 3), 621, 52]-NRT-code) | [i] | OOA Folding |