Information on Result #2642652
Linear OOA(7103, 49, F7, 3, 58) (dual of [(49, 3), 44, 59]-NRT-code), using strength reduction based on linear OOA(7103, 49, F7, 3, 59) (dual of [(49, 3), 44, 60]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(78, 7, F7, 3, 8) (dual of [(7, 3), 13, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(3;13,7) [i]
- linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;12,7) [i]
- linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(3;10,7) [i]
- linear OOA(714, 7, F7, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(3;7,7) [i]
- linear OOA(719, 7, F7, 3, 19) (dual of [(7, 3), 2, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(3;2,7) [i]
- linear OOA(721, 7, F7, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code), using
- linear OOA(721, 7, F7, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code) (see above)
- linear OOA(78, 7, F7, 3, 8) (dual of [(7, 3), 13, 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(7106, 50, F7, 3, 58) (dual of [(50, 3), 44, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(7104, 49, F7, 3, 58) (dual of [(49, 3), 43, 59]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(7105, 49, F7, 3, 58) (dual of [(49, 3), 42, 59]-NRT-code) | [i] | ||
| 4 | Linear OOA(7102, 48, F7, 3, 57) (dual of [(48, 3), 42, 58]-NRT-code) | [i] | Truncation for OOAs | |