Information on Result #1006595
Linear OOA(8166, 256, F8, 3, 78) (dual of [(256, 3), 602, 79]-NRT-code), using extracting embedded OOA based on digital (88, 166, 256)-net over F8, using
- trace code for nets [i] based on digital (5, 83, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-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, 256, F8, 3, 77) (dual of [(256, 3), 602, 78]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8169, 257, F8, 3, 78) (dual of [(257, 3), 602, 79]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8167, 256, F8, 3, 78) (dual of [(256, 3), 601, 79]-NRT-code) | [i] | OOA Duplication | |