Information on Result #906485
Linear OOA(782, 49, F7, 2, 55) (dual of [(49, 2), 16, 56]-NRT-code), using generalized (u, u+v)-construction 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(711, 7, F7, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,7) [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)
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(782, 49, F7, 2, 54) (dual of [(49, 2), 16, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(784, 50, F7, 2, 55) (dual of [(50, 2), 16, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |