Information on Result #1021692
Linear OOA(7103, 56, F7, 3, 53) (dual of [(56, 3), 65, 54]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(77, 8, F7, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;17,7) [i]
- 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(713, 8, F7, 3, 13) (dual of [(8, 3), 11, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;11,7) [i]
- linear OOA(717, 8, F7, 3, 17) (dual of [(8, 3), 7, 18]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;7,7) [i]
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-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, 56, F7, 3, 52) (dual of [(56, 3), 65, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7104, 56, F7, 3, 53) (dual of [(56, 3), 64, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(7102, 55, F7, 3, 52) (dual of [(55, 3), 63, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(7101, 55, F7, 3, 51) (dual of [(55, 3), 64, 52]-NRT-code) | [i] | ||