Information on Result #906588
Linear OOA(771, 40, F7, 2, 54) (dual of [(40, 2), 9, 55]-NRT-code), using generalized (u, u+v)-construction based on
- 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)
- 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(771, 40, F7, 2, 53) (dual of [(40, 2), 9, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(771, 40, F7, 2, 52) (dual of [(40, 2), 9, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(773, 41, F7, 2, 54) (dual of [(41, 2), 9, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(769, 39, F7, 2, 52) (dual of [(39, 2), 9, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(767, 38, F7, 2, 50) (dual of [(38, 2), 9, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(766, 37, F7, 2, 49) (dual of [(37, 2), 8, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(765, 37, F7, 2, 48) (dual of [(37, 2), 9, 49]-NRT-code) | [i] | ||