Information on Result #888607
Linear OOA(418, 48, F4, 2, 8) (dual of [(48, 2), 78, 9]-NRT-code), using extracting embedded OOA based on digital (10, 18, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 9, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-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(419, 48, F4, 2, 8) (dual of [(48, 2), 77, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4162, 4194349, F4, 2, 16) (dual of [(4194349, 2), 8388536, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4163, 4194349, F4, 2, 17) (dual of [(4194349, 2), 8388535, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(418, 24, F4, 3, 8) (dual of [(24, 3), 54, 9]-NRT-code) | [i] | OOA Folding | |