Information on Result #1006958
Linear OOA(9108, 740, F9, 3, 38) (dual of [(740, 3), 2112, 39]-NRT-code), using extracting embedded OOA based on digital (70, 108, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 54, 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(9108, 740, F9, 3, 37) (dual of [(740, 3), 2112, 38]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9111, 741, F9, 3, 38) (dual of [(741, 3), 2112, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(9114, 742, F9, 3, 38) (dual of [(742, 3), 2112, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(9109, 740, F9, 3, 38) (dual of [(740, 3), 2111, 39]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(9127, 750, F9, 3, 38) (dual of [(750, 3), 2123, 39]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(9128, 756, F9, 3, 38) (dual of [(756, 3), 2140, 39]-NRT-code) | [i] | ||
| 7 | Linear OOA(9129, 760, F9, 3, 38) (dual of [(760, 3), 2151, 39]-NRT-code) | [i] | ||
| 8 | Linear OOA(9130, 768, F9, 3, 38) (dual of [(768, 3), 2174, 39]-NRT-code) | [i] | ||
| 9 | Linear OOA(9131, 770, F9, 3, 38) (dual of [(770, 3), 2179, 39]-NRT-code) | [i] | ||
| 10 | Linear OOA(9132, 772, F9, 3, 38) (dual of [(772, 3), 2184, 39]-NRT-code) | [i] | ||