Information on Result #1021914
Linear OOA(764, 24, F7, 3, 50) (dual of [(24, 3), 8, 51]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(712, 6, F7, 3, 12) (dual of [(6, 3), 6, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;9,7) [i]
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- linear OOA(716, 6, F7, 3, 16) (dual of [(6, 3), 2, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(716, 7, F7, 3, 16) (dual of [(7, 3), 5, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(3;5,7) [i]
- discarding factors / shortening the dual code based on linear OOA(716, 7, F7, 3, 16) (dual of [(7, 3), 5, 17]-NRT-code), using
- linear OOA(718, 6, F7, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code), using
- linear OOA(718, 6, F7, 3, 18) (dual of [(6, 3), 0, 19]-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(763, 23, F7, 3, 49) (dual of [(23, 3), 6, 50]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(762, 23, F7, 3, 48) (dual of [(23, 3), 7, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(761, 23, F7, 3, 47) (dual of [(23, 3), 8, 48]-NRT-code) | [i] | ||