Information on Result #888761
Linear OOA(456, 1028, F4, 2, 14) (dual of [(1028, 2), 2000, 15]-NRT-code), using extracting embedded OOA based on digital (42, 56, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 14, 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(458, 1029, F4, 2, 14) (dual of [(1029, 2), 2000, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(457, 1028, F4, 2, 14) (dual of [(1028, 2), 1999, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(456, 514, F4, 3, 14) (dual of [(514, 3), 1486, 15]-NRT-code) | [i] | OOA Folding | |