Information on Result #1021861
Linear OOA(782, 43, F7, 3, 43) (dual of [(43, 3), 47, 44]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(78, 8, F7, 3, 8) (dual of [(8, 3), 16, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;16,7) [i]
- linear OOA(710, 8, F7, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;14,7) [i]
- linear OOA(715, 9, F7, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 15, 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, 15, 9)-net over F7, using
- linear OOA(722, 9, F7, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 22, 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, 22, 9)-net over F7, using
- linear OOA(727, 9, F7, 3, 27) (dual of [(9, 3), 0, 28]-NRT-code), 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(782, 43, F7, 3, 42) (dual of [(43, 3), 47, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |