Information on Result #891389
Linear OOA(9116, 740, F9, 2, 42) (dual of [(740, 2), 1364, 43]-NRT-code), using extracting embedded OOA based on digital (74, 116, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 58, 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(9118, 741, F9, 2, 42) (dual of [(741, 2), 1364, 43]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9120, 742, F9, 2, 42) (dual of [(742, 2), 1364, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(9117, 740, F9, 2, 42) (dual of [(740, 2), 1363, 43]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(9137, 751, F9, 2, 42) (dual of [(751, 2), 1365, 43]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(9138, 756, F9, 2, 42) (dual of [(756, 2), 1374, 43]-NRT-code) | [i] | ||
| 6 | Linear OOA(9139, 760, F9, 2, 42) (dual of [(760, 2), 1381, 43]-NRT-code) | [i] | ||
| 7 | Linear OOA(9140, 768, F9, 2, 42) (dual of [(768, 2), 1396, 43]-NRT-code) | [i] | ||
| 8 | Linear OOA(9141, 770, F9, 2, 42) (dual of [(770, 2), 1399, 43]-NRT-code) | [i] | ||
| 9 | Linear OOA(9142, 772, F9, 2, 42) (dual of [(772, 2), 1402, 43]-NRT-code) | [i] | ||
| 10 | Linear OOA(9143, 774, F9, 2, 42) (dual of [(774, 2), 1405, 43]-NRT-code) | [i] | ||
| 11 | Linear OOA(9144, 776, F9, 2, 42) (dual of [(776, 2), 1408, 43]-NRT-code) | [i] | ||
| 12 | Linear OOA(9116, 370, F9, 3, 42) (dual of [(370, 3), 994, 43]-NRT-code) | [i] | OOA Folding | |