Information on Result #888600
Linear OOA(416, 48, F4, 2, 7) (dual of [(48, 2), 80, 8]-NRT-code), using extracting embedded OOA based on digital (9, 16, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 8, 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(417, 48, F4, 2, 7) (dual of [(48, 2), 79, 8]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(4137, 4194349, F4, 2, 14) (dual of [(4194349, 2), 8388561, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
3 | Linear OOA(4149, 4194349, F4, 2, 15) (dual of [(4194349, 2), 8388549, 16]-NRT-code) | [i] | ||
4 | Linear OOA(416, 24, F4, 3, 7) (dual of [(24, 3), 56, 8]-NRT-code) | [i] | OOA Folding |