Information on Result #891373
Linear OOA(9112, 740, F9, 2, 40) (dual of [(740, 2), 1368, 41]-NRT-code), using extracting embedded OOA based on digital (72, 112, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 56, 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(9114, 741, F9, 2, 40) (dual of [(741, 2), 1368, 41]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
2 | Linear OOA(9116, 742, F9, 2, 40) (dual of [(742, 2), 1368, 41]-NRT-code) | [i] | ||
3 | Linear OOA(9113, 740, F9, 2, 40) (dual of [(740, 2), 1367, 41]-NRT-code) | [i] | OOA Duplication | |
4 | Linear OOA(9133, 756, F9, 2, 40) (dual of [(756, 2), 1379, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
5 | Linear OOA(9134, 760, F9, 2, 40) (dual of [(760, 2), 1386, 41]-NRT-code) | [i] | ||
6 | Linear OOA(9135, 768, F9, 2, 40) (dual of [(768, 2), 1401, 41]-NRT-code) | [i] | ||
7 | Linear OOA(9136, 770, F9, 2, 40) (dual of [(770, 2), 1404, 41]-NRT-code) | [i] | ||
8 | Linear OOA(9137, 772, F9, 2, 40) (dual of [(772, 2), 1407, 41]-NRT-code) | [i] | ||
9 | Linear OOA(9138, 774, F9, 2, 40) (dual of [(774, 2), 1410, 41]-NRT-code) | [i] | ||
10 | Linear OOA(9139, 776, F9, 2, 40) (dual of [(776, 2), 1413, 41]-NRT-code) | [i] | ||
11 | Linear OOA(9112, 370, F9, 3, 40) (dual of [(370, 3), 998, 41]-NRT-code) | [i] | OOA Folding |