Information on Result #2506949
Linear OOA(772, 50, F7, 2, 41) (dual of [(50, 2), 28, 42]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(770, 49, F7, 2, 41) (dual of [(49, 2), 28, 42]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,7) [i]
- linear OOA(76, 7, F7, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,7) [i]
- linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;6,7) [i]
- linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,7) [i]
- linear OOA(713, 7, F7, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
- dual of repetition NRT-code with length 7 [i]
- Reed–Solomon NRT-code RS(2;1,7) [i]
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
- linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-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(773, 50, F7, 2, 41) (dual of [(50, 2), 27, 42]-NRT-code) | [i] | OOA Duplication | |