Information on Result #891381
Linear OOA(9114, 740, F9, 2, 41) (dual of [(740, 2), 1366, 42]-NRT-code), using extracting embedded OOA based on digital (73, 114, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 57, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, 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(9116, 741, F9, 2, 41) (dual of [(741, 2), 1366, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9118, 742, F9, 2, 41) (dual of [(742, 2), 1366, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(9115, 740, F9, 2, 41) (dual of [(740, 2), 1365, 42]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(9135, 756, F9, 2, 41) (dual of [(756, 2), 1377, 42]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(9136, 760, F9, 2, 41) (dual of [(760, 2), 1384, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(9137, 768, F9, 2, 41) (dual of [(768, 2), 1399, 42]-NRT-code) | [i] | ||
| 7 | Linear OOA(9138, 770, F9, 2, 41) (dual of [(770, 2), 1402, 42]-NRT-code) | [i] | ||
| 8 | Linear OOA(9139, 772, F9, 2, 41) (dual of [(772, 2), 1405, 42]-NRT-code) | [i] | ||
| 9 | Linear OOA(9140, 774, F9, 2, 41) (dual of [(774, 2), 1408, 42]-NRT-code) | [i] | ||
| 10 | Linear OOA(9114, 370, F9, 3, 41) (dual of [(370, 3), 996, 42]-NRT-code) | [i] | OOA Folding | |