Information on Result #1003397
Linear OOA(4165, 531, F4, 3, 48) (dual of [(531, 3), 1428, 49]-NRT-code), using extracting embedded OOA based on digital (117, 165, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 55, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, 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(4168, 532, F4, 3, 48) (dual of [(532, 3), 1428, 49]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4171, 533, F4, 3, 48) (dual of [(533, 3), 1428, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(4174, 534, F4, 3, 48) (dual of [(534, 3), 1428, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(4166, 531, F4, 3, 48) (dual of [(531, 3), 1427, 49]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4167, 531, F4, 3, 48) (dual of [(531, 3), 1426, 49]-NRT-code) | [i] | ||
| 6 | Linear OOA(4190, 540, F4, 3, 48) (dual of [(540, 3), 1430, 49]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4191, 541, F4, 3, 48) (dual of [(541, 3), 1432, 49]-NRT-code) | [i] | ||