Information on Result #906536
Linear OOA(753, 42, F7, 2, 29) (dual of [(42, 2), 31, 30]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(74, 6, F7, 2, 4) (dual of [(6, 2), 8, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,7) [i]
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
- linear OOA(74, 6, F7, 2, 4) (dual of [(6, 2), 8, 5]-NRT-code) (see above)
- linear OOA(75, 6, F7, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,7) [i]
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- linear OOA(77, 6, F7, 2, 7) (dual of [(6, 2), 5, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,7) [i]
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- linear OOA(79, 6, F7, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,7) [i]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-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(753, 42, F7, 2, 28) (dual of [(42, 2), 31, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(754, 42, F7, 2, 29) (dual of [(42, 2), 30, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(752, 41, F7, 2, 28) (dual of [(41, 2), 30, 29]-NRT-code) | [i] | Truncation for OOAs | |