Information on Result #1002814
Linear OOA(428, 1028, F4, 3, 7) (dual of [(1028, 3), 3056, 8]-NRT-code), using extracting embedded OOA based on digital (21, 28, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 7, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, 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(429, 1028, F4, 3, 7) (dual of [(1028, 3), 3055, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(430, 1028, F4, 3, 7) (dual of [(1028, 3), 3054, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(4149, 2797229, F4, 3, 14) (dual of [(2797229, 3), 8391538, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4161, 2797229, F4, 3, 15) (dual of [(2797229, 3), 8391526, 16]-NRT-code) | [i] | ||