Information on Result #1006950
Linear OOA(9106, 740, F9, 3, 37) (dual of [(740, 3), 2114, 38]-NRT-code), using extracting embedded OOA based on digital (69, 106, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 53, 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(9106, 740, F9, 3, 36) (dual of [(740, 3), 2114, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9109, 741, F9, 3, 37) (dual of [(741, 3), 2114, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(9112, 742, F9, 3, 37) (dual of [(742, 3), 2114, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(9107, 740, F9, 3, 37) (dual of [(740, 3), 2113, 38]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(9124, 750, F9, 3, 37) (dual of [(750, 3), 2126, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(9125, 756, F9, 3, 37) (dual of [(756, 3), 2143, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(9126, 760, F9, 3, 37) (dual of [(760, 3), 2154, 38]-NRT-code) | [i] | ||
| 8 | Linear OOA(9127, 768, F9, 3, 37) (dual of [(768, 3), 2177, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(9128, 770, F9, 3, 37) (dual of [(770, 3), 2182, 38]-NRT-code) | [i] | ||