Information on Result #906594
Linear OOA(764, 40, F7, 2, 43) (dual of [(40, 2), 16, 44]-NRT-code), using generalized (u, u+v)-construction based on
- 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(714, 8, F7, 2, 14) (dual of [(8, 2), 2, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,7) [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(764, 40, F7, 2, 42) (dual of [(40, 2), 16, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(764, 40, F7, 2, 41) (dual of [(40, 2), 16, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(766, 41, F7, 2, 43) (dual of [(41, 2), 16, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(763, 39, F7, 2, 42) (dual of [(39, 2), 15, 43]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(762, 39, F7, 2, 41) (dual of [(39, 2), 16, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(761, 38, F7, 2, 40) (dual of [(38, 2), 15, 41]-NRT-code) | [i] | ||
| 7 | Linear OOA(760, 38, F7, 2, 39) (dual of [(38, 2), 16, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(759, 37, F7, 2, 38) (dual of [(37, 2), 15, 39]-NRT-code) | [i] | ||
| 9 | Linear OOA(758, 37, F7, 2, 37) (dual of [(37, 2), 16, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(757, 36, F7, 2, 36) (dual of [(36, 2), 15, 37]-NRT-code) | [i] | ||
| 11 | Linear OOA(756, 36, F7, 2, 35) (dual of [(36, 2), 16, 36]-NRT-code) | [i] | ||