Information on Result #888646
Linear OOA(428, 90, F4, 2, 10) (dual of [(90, 2), 152, 11]-NRT-code), using extracting embedded OOA based on digital (18, 28, 90)-net over F4, using
- trace code for nets [i] based on digital (4, 14, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- net from sequence [i] based on digital (4, 44)-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(4208, 4194391, F4, 2, 20) (dual of [(4194391, 2), 8388574, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4209, 4194391, F4, 2, 21) (dual of [(4194391, 2), 8388573, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(428, 45, F4, 3, 10) (dual of [(45, 3), 107, 11]-NRT-code) | [i] | OOA Folding | |