Information on Result #1021682
Linear OOA(7100, 49, F7, 3, 55) (dual of [(49, 3), 47, 56]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(77, 7, F7, 3, 7) (dual of [(7, 3), 14, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,7) [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(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,7) [i]
- linear OOA(718, 7, F7, 3, 18) (dual of [(7, 3), 3, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(3;3,7) [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)
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(7100, 49, F7, 3, 54) (dual of [(49, 3), 47, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7103, 50, F7, 3, 55) (dual of [(50, 3), 47, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(7101, 49, F7, 3, 55) (dual of [(49, 3), 46, 56]-NRT-code) | [i] | OOA Duplication | |