Information on Result #1002785
Linear OOA(422, 48, F4, 3, 10) (dual of [(48, 3), 122, 11]-NRT-code), using extracting embedded OOA based on digital (12, 22, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 11, 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(423, 48, F4, 3, 10) (dual of [(48, 3), 121, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4202, 2796249, F4, 3, 20) (dual of [(2796249, 3), 8388545, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4203, 2796249, F4, 3, 21) (dual of [(2796249, 3), 8388544, 22]-NRT-code) | [i] | ||