Information on Result #2507095
Linear OOA(783, 50, F7, 2, 54) (dual of [(50, 2), 17, 55]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(781, 49, F7, 2, 54) (dual of [(49, 2), 17, 55]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,7) [i]
- linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,7) [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(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code) (see above)
- linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-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(784, 50, F7, 2, 54) (dual of [(50, 2), 16, 55]-NRT-code) | [i] | OOA Duplication | |