Information on Result #1021707
Linear OOA(790, 49, F7, 3, 47) (dual of [(49, 3), 57, 48]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(76, 7, F7, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;15,7) [i]
- 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(715, 7, F7, 3, 15) (dual of [(7, 3), 6, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,7) [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, 49, F7, 3, 46) (dual of [(49, 3), 57, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(791, 49, F7, 3, 47) (dual of [(49, 3), 56, 48]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(792, 49, F7, 3, 47) (dual of [(49, 3), 55, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(788, 48, F7, 3, 45) (dual of [(48, 3), 56, 46]-NRT-code) | [i] | Truncation for OOAs | |