Information on Result #1111162
Linear OOA(321, 114, F3, 5, 6) (dual of [(114, 5), 549, 7]-NRT-code), using extracting embedded OOA based on digital (15, 21, 114)-net over F3, using
- trace code for nets [i] based on digital (1, 7, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, 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(3141, 1677834, F3, 5, 12) (dual of [(1677834, 5), 8389029, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3201, 4194415, F3, 5, 12) (dual of [(4194415, 5), 20971874, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3142, 1677834, F3, 5, 13) (dual of [(1677834, 5), 8389028, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3217, 4194415, F3, 5, 13) (dual of [(4194415, 5), 20971858, 14]-NRT-code) | [i] | ||