Information on Result #1021712
Linear OOA(772, 35, F7, 3, 41) (dual of [(35, 3), 33, 42]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(75, 5, F7, 3, 5) (dual of [(5, 3), 10, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 3, 5) (dual of [(7, 3), 16, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(3;16,7) [i]
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 3, 5) (dual of [(7, 3), 16, 6]-NRT-code), using
- linear OOA(76, 5, F7, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;15,7) [i]
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
- linear OOA(78, 5, F7, 3, 8) (dual of [(5, 3), 7, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(78, 7, F7, 3, 8) (dual of [(7, 3), 13, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(3;13,7) [i]
- discarding factors / shortening the dual code based on linear OOA(78, 7, F7, 3, 8) (dual of [(7, 3), 13, 9]-NRT-code), using
- linear OOA(710, 5, F7, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;11,7) [i]
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- linear OOA(713, 5, F7, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,7) [i]
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code), using
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-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(772, 35, F7, 3, 40) (dual of [(35, 3), 33, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |