Information on Result #1021706
Linear OOA(784, 42, F7, 3, 47) (dual of [(42, 3), 42, 48]-NRT-code), using generalized (u, u+v)-construction based on
- 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(77, 6, F7, 3, 7) (dual of [(6, 3), 11, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 3, 7) (dual of [(7, 3), 14, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,7) [i]
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 3, 7) (dual of [(7, 3), 14, 8]-NRT-code), using
- linear OOA(79, 6, F7, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;12,7) [i]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- linear OOA(711, 6, F7, 3, 11) (dual of [(6, 3), 7, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(3;10,7) [i]
- discarding factors / shortening the dual code based on linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- linear OOA(715, 6, F7, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(715, 7, F7, 3, 15) (dual of [(7, 3), 6, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,7) [i]
- discarding factors / shortening the dual code based on linear OOA(715, 7, F7, 3, 15) (dual of [(7, 3), 6, 16]-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(784, 42, F7, 3, 46) (dual of [(42, 3), 42, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(784, 42, F7, 3, 45) (dual of [(42, 3), 42, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(787, 43, F7, 3, 47) (dual of [(43, 3), 42, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(785, 42, F7, 3, 47) (dual of [(42, 3), 41, 48]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(786, 42, F7, 3, 47) (dual of [(42, 3), 40, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(783, 41, F7, 3, 46) (dual of [(41, 3), 40, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(782, 41, F7, 3, 45) (dual of [(41, 3), 41, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(781, 41, F7, 3, 44) (dual of [(41, 3), 42, 45]-NRT-code) | [i] | ||