Information on Result #1021829
Linear OOA(7103, 44, F7, 3, 62) (dual of [(44, 3), 29, 63]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(712, 8, F7, 3, 12) (dual of [(8, 3), 12, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;12,7) [i]
- linear OOA(716, 9, F7, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 16, 9)-net over F7, using
- net from sequence [i] based on digital (1, 8)-sequence over F7, using
- extracting embedded OOA [i] based on digital (1, 16, 9)-net over F7, using
- linear OOA(721, 9, F7, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 21, 9)-net over F7, using
- net from sequence [i] based on digital (1, 8)-sequence over F7 (see above)
- extracting embedded OOA [i] based on digital (1, 21, 9)-net over F7, using
- linear OOA(727, 9, F7, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code), using
- linear OOA(727, 9, F7, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code) (see above)
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(7103, 44, F7, 3, 61) (dual of [(44, 3), 29, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7102, 43, F7, 3, 61) (dual of [(43, 3), 27, 62]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(7101, 43, F7, 3, 60) (dual of [(43, 3), 28, 61]-NRT-code) | [i] | ||