Information on Result #906586
Linear OOA(773, 40, F7, 2, 59) (dual of [(40, 2), 7, 60]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(711, 8, F7, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;5,7) [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)
- 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(773, 40, F7, 2, 58) (dual of [(40, 2), 7, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(773, 40, F7, 2, 57) (dual of [(40, 2), 7, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(773, 40, F7, 2, 56) (dual of [(40, 2), 7, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(773, 40, F7, 2, 55) (dual of [(40, 2), 7, 56]-NRT-code) | [i] | ||
| 5 | Linear OOA(775, 41, F7, 2, 59) (dual of [(41, 2), 7, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(772, 39, F7, 2, 58) (dual of [(39, 2), 6, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(771, 39, F7, 2, 57) (dual of [(39, 2), 7, 58]-NRT-code) | [i] | ||
| 8 | Linear OOA(770, 38, F7, 2, 56) (dual of [(38, 2), 6, 57]-NRT-code) | [i] | ||
| 9 | Linear OOA(769, 38, F7, 2, 55) (dual of [(38, 2), 7, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(768, 37, F7, 2, 54) (dual of [(37, 2), 6, 55]-NRT-code) | [i] | ||
| 11 | Linear OOA(767, 37, F7, 2, 53) (dual of [(37, 2), 7, 54]-NRT-code) | [i] | ||
| 12 | Linear OOA(765, 36, F7, 2, 51) (dual of [(36, 2), 7, 52]-NRT-code) | [i] | ||
| 13 | Linear OOA(764, 35, F7, 2, 50) (dual of [(35, 2), 6, 51]-NRT-code) | [i] | ||
| 14 | Linear OOA(763, 35, F7, 2, 49) (dual of [(35, 2), 7, 50]-NRT-code) | [i] | ||
| 15 | Linear OOA(761, 34, F7, 2, 47) (dual of [(34, 2), 7, 48]-NRT-code) | [i] | ||
| 16 | Linear OOA(759, 33, F7, 2, 45) (dual of [(33, 2), 7, 46]-NRT-code) | [i] | ||