Information on Result #1007074
Linear OOA(9140, 232, F9, 3, 68) (dual of [(232, 3), 556, 69]-NRT-code), using extracting embedded OOA based on digital (72, 140, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 70, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, 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(9140, 232, F9, 3, 67) (dual of [(232, 3), 556, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9143, 233, F9, 3, 68) (dual of [(233, 3), 556, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(9141, 232, F9, 3, 68) (dual of [(232, 3), 555, 69]-NRT-code) | [i] | OOA Duplication | |