Information on Result #1006597
Linear OOA(8166, 1026, F8, 3, 55) (dual of [(1026, 3), 2912, 56]-NRT-code), using extracting embedded OOA based on digital (111, 166, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 83, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-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(8166, 1026, F8, 3, 54) (dual of [(1026, 3), 2912, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8169, 1027, F8, 3, 55) (dual of [(1027, 3), 2912, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8172, 1028, F8, 3, 55) (dual of [(1028, 3), 2912, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(8167, 1026, F8, 3, 55) (dual of [(1026, 3), 2911, 56]-NRT-code) | [i] | OOA Duplication | |