Information on Result #1112410
Linear OOA(3164, 464, F3, 5, 39) (dual of [(464, 5), 2156, 40]-NRT-code), using extracting embedded OOA based on digital (125, 164, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 41, 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(3164, 464, F3, 5, 38) (dual of [(464, 5), 2156, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3169, 465, F3, 5, 39) (dual of [(465, 5), 2156, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3165, 464, F3, 5, 39) (dual of [(464, 5), 2155, 40]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3166, 464, F3, 5, 39) (dual of [(464, 5), 2154, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(3167, 464, F3, 5, 39) (dual of [(464, 5), 2153, 40]-NRT-code) | [i] | ||