Information on Result #1021713
Linear OOA(778, 42, F7, 3, 41) (dual of [(42, 3), 48, 42]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(75, 6, F7, 3, 5) (dual of [(6, 3), 13, 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, 6, F7, 3, 6) (dual of [(6, 3), 12, 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, 6, F7, 3, 8) (dual of [(6, 3), 10, 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, 6, F7, 3, 10) (dual of [(6, 3), 8, 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, 6, F7, 3, 13) (dual of [(6, 3), 5, 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(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(778, 42, F7, 3, 40) (dual of [(42, 3), 48, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(779, 42, F7, 3, 41) (dual of [(42, 3), 47, 42]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(777, 41, F7, 3, 40) (dual of [(41, 3), 46, 41]-NRT-code) | [i] | Truncation for OOAs | |