Information on Result #1003498
Linear OOA(4195, 531, F4, 3, 58) (dual of [(531, 3), 1398, 59]-NRT-code), using extracting embedded OOA based on digital (137, 195, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 65, 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(4198, 532, F4, 3, 58) (dual of [(532, 3), 1398, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4201, 533, F4, 3, 58) (dual of [(533, 3), 1398, 59]-NRT-code) | [i] | ||
| 3 | Linear OOA(4204, 534, F4, 3, 58) (dual of [(534, 3), 1398, 59]-NRT-code) | [i] | ||
| 4 | Linear OOA(4196, 531, F4, 3, 58) (dual of [(531, 3), 1397, 59]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4197, 531, F4, 3, 58) (dual of [(531, 3), 1396, 59]-NRT-code) | [i] | ||
| 6 | Linear OOA(4224, 541, F4, 3, 58) (dual of [(541, 3), 1399, 59]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4227, 545, F4, 3, 58) (dual of [(545, 3), 1408, 59]-NRT-code) | [i] | ||
| 8 | Linear OOA(4228, 546, F4, 3, 58) (dual of [(546, 3), 1410, 59]-NRT-code) | [i] | ||
| 9 | Linear OOA(4229, 548, F4, 3, 58) (dual of [(548, 3), 1415, 59]-NRT-code) | [i] | ||
| 10 | Linear OOA(4231, 552, F4, 3, 58) (dual of [(552, 3), 1425, 59]-NRT-code) | [i] | ||