Information on Result #2642813
Linear OOA(7109, 56, F7, 3, 58) (dual of [(56, 3), 59, 59]-NRT-code), using strength reduction based on linear OOA(7109, 56, F7, 3, 59) (dual of [(56, 3), 59, 60]-NRT-code), using
- generalized (u, u+v)-construction [i] 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(79, 8, F7, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,7) [i]
- linear OOA(711, 8, F7, 3, 11) (dual of [(8, 3), 13, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;13,7) [i]
- linear OOA(714, 8, F7, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;10,7) [i]
- linear OOA(719, 8, F7, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,7) [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)
- linear OOA(78, 8, F7, 3, 8) (dual of [(8, 3), 16, 9]-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(7108, 55, F7, 3, 57) (dual of [(55, 3), 57, 58]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(7107, 55, F7, 3, 56) (dual of [(55, 3), 58, 57]-NRT-code) | [i] | ||