Information on Result #906516
Linear OOA(774, 56, F7, 2, 41) (dual of [(56, 2), 38, 42]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(75, 8, F7, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;11,7) [i]
- linear OOA(76, 8, F7, 2, 6) (dual of [(8, 2), 10, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;10,7) [i]
- linear OOA(78, 8, F7, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;8,7) [i]
- linear OOA(710, 8, F7, 2, 10) (dual of [(8, 2), 6, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,7) [i]
- linear OOA(713, 8, F7, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,7) [i]
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
- linear OOA(716, 8, F7, 2, 16) (dual of [(8, 2), 0, 17]-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(774, 56, F7, 2, 40) (dual of [(56, 2), 38, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(776, 57, F7, 2, 41) (dual of [(57, 2), 38, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(778, 58, F7, 2, 41) (dual of [(58, 2), 38, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(775, 56, F7, 2, 41) (dual of [(56, 2), 37, 42]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(773, 55, F7, 2, 40) (dual of [(55, 2), 37, 41]-NRT-code) | [i] | Truncation for OOAs | |