Information on Result #906491
Linear OOA(780, 49, F7, 2, 53) (dual of [(49, 2), 18, 54]-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(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(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(780, 49, F7, 2, 52) (dual of [(49, 2), 18, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(780, 49, F7, 2, 51) (dual of [(49, 2), 18, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(780, 49, F7, 2, 50) (dual of [(49, 2), 18, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(782, 50, F7, 2, 53) (dual of [(50, 2), 18, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(778, 48, F7, 2, 51) (dual of [(48, 2), 18, 52]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(777, 47, F7, 2, 50) (dual of [(47, 2), 17, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(776, 47, F7, 2, 49) (dual of [(47, 2), 18, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(775, 46, F7, 2, 48) (dual of [(46, 2), 17, 49]-NRT-code) | [i] | ||