Information on Result #1021691
Linear OOA(797, 49, F7, 3, 53) (dual of [(49, 3), 50, 54]-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(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(710, 7, F7, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;11,7) [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(717, 7, F7, 3, 17) (dual of [(7, 3), 4, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(3;4,7) [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(797, 49, F7, 3, 52) (dual of [(49, 3), 50, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(797, 49, F7, 3, 51) (dual of [(49, 3), 50, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(797, 49, F7, 3, 50) (dual of [(49, 3), 50, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(7100, 50, F7, 3, 53) (dual of [(50, 3), 50, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(798, 49, F7, 3, 53) (dual of [(49, 3), 49, 54]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(795, 48, F7, 3, 51) (dual of [(48, 3), 49, 52]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(794, 48, F7, 3, 50) (dual of [(48, 3), 50, 51]-NRT-code) | [i] | ||