Information on Result #1021766
Linear OOA(790, 42, F7, 3, 53) (dual of [(42, 3), 36, 54]-NRT-code), using generalized (u, u+v)-construction 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(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(790, 42, F7, 3, 52) (dual of [(42, 3), 36, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(793, 43, F7, 3, 53) (dual of [(43, 3), 36, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(789, 41, F7, 3, 52) (dual of [(41, 3), 34, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(788, 41, F7, 3, 51) (dual of [(41, 3), 35, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(787, 41, F7, 3, 50) (dual of [(41, 3), 36, 51]-NRT-code) | [i] | ||