Information on Result #1013661
Linear OOA(710, 21, F7, 3, 6) (dual of [(21, 3), 53, 7]-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(77, 13, F7, 3, 6) (dual of [(13, 3), 32, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 13)-net over F7, using
- 6 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 7, 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(734, 121, F7, 3, 12) (dual of [(121, 3), 329, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(7100, 3843223, F7, 3, 12) (dual of [(3843223, 3), 11529569, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(736, 121, F7, 3, 13) (dual of [(121, 3), 327, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(766, 5625, F7, 3, 13) (dual of [(5625, 3), 16809, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(788, 274537, F7, 3, 13) (dual of [(274537, 3), 823523, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(7108, 3843223, F7, 3, 13) (dual of [(3843223, 3), 11529561, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(710, 20, F7, 9, 6) (dual of [(20, 9), 170, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |