Information on Result #889198
Linear OOA(4168, 312, F4, 2, 53) (dual of [(312, 2), 456, 54]-NRT-code), using extracting embedded OOA based on digital (115, 168, 312)-net over F4, using
- trace code for nets [i] based on digital (3, 56, 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(4170, 313, F4, 2, 53) (dual of [(313, 2), 456, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4172, 314, F4, 2, 53) (dual of [(314, 2), 456, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(4169, 312, F4, 2, 53) (dual of [(312, 2), 455, 54]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4168, 156, F4, 3, 53) (dual of [(156, 3), 300, 54]-NRT-code) | [i] | OOA Folding | |