Information on Result #888599
Linear OOA(416, 34, F4, 2, 8) (dual of [(34, 2), 52, 9]-NRT-code), using extracting embedded OOA based on digital (8, 16, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 8, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, 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(417, 34, F4, 2, 8) (dual of [(34, 2), 51, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4160, 4194335, F4, 2, 16) (dual of [(4194335, 2), 8388510, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4161, 4194335, F4, 2, 17) (dual of [(4194335, 2), 8388509, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(416, 17, F4, 3, 8) (dual of [(17, 3), 35, 9]-NRT-code) | [i] | OOA Folding | |