Information on Result #888654
Linear OOA(430, 76, F4, 2, 12) (dual of [(76, 2), 122, 13]-NRT-code), using extracting embedded OOA based on digital (18, 30, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 15, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-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(431, 76, F4, 2, 12) (dual of [(76, 2), 121, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4246, 4194377, F4, 2, 24) (dual of [(4194377, 2), 8388508, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4247, 4194377, F4, 2, 25) (dual of [(4194377, 2), 8388507, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(430, 38, F4, 3, 12) (dual of [(38, 3), 84, 13]-NRT-code) | [i] | OOA Folding | |