Information on Result #1013689
Linear OOA(711, 21, F7, 3, 7) (dual of [(21, 3), 52, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(73, 8, F7, 3, 3) (dual of [(8, 3), 21, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;21,7) [i]
- linear OOA(78, 13, F7, 3, 7) (dual of [(13, 3), 31, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, using
- 5 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, 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(739, 121, F7, 3, 14) (dual of [(121, 3), 324, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(771, 5623, F7, 3, 14) (dual of [(5623, 3), 16798, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(795, 274535, F7, 3, 14) (dual of [(274535, 3), 823510, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(741, 121, F7, 3, 15) (dual of [(121, 3), 322, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(772, 5623, F7, 3, 15) (dual of [(5623, 3), 16797, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(784, 39237, F7, 3, 15) (dual of [(39237, 3), 117627, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(796, 274535, F7, 3, 15) (dual of [(274535, 3), 823509, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(7108, 1921621, F7, 3, 15) (dual of [(1921621, 3), 5764755, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(711, 20, F7, 9, 7) (dual of [(20, 9), 169, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |