Information on Result #1004315
Linear OOA(586, 296, F5, 3, 24) (dual of [(296, 3), 802, 25]-NRT-code), using extracting embedded OOA based on digital (62, 86, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 43, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, 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(586, 296, F5, 3, 23) (dual of [(296, 3), 802, 24]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(589, 297, F5, 3, 24) (dual of [(297, 3), 802, 25]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(587, 296, F5, 3, 24) (dual of [(296, 3), 801, 25]-NRT-code) | [i] | OOA Duplication | |