Information on Result #552415
There is no linear OOA(2161, 189, F2, 2, 79) (dual of [(189, 2), 217, 80]-NRT-code), because 1 step m-reduction would yield linear OA(2160, 189, F2, 78) (dual of [189, 29, 79]-code), but
- 6 times code embedding in larger space [i] would yield linear OA(2166, 195, F2, 78) (dual of [195, 29, 79]-code), but
- adding a parity check bit [i] would yield linear OA(2167, 196, F2, 79) (dual of [196, 29, 80]-code), but
Mode: Bound (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 | No linear OOA(2161, 189, F2, 3, 79) (dual of [(189, 3), 406, 80]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2161, 189, F2, 4, 79) (dual of [(189, 4), 595, 80]-NRT-code) | [i] | ||
| 3 | No linear OOA(2161, 189, F2, 5, 79) (dual of [(189, 5), 784, 80]-NRT-code) | [i] | ||
| 4 | No linear OOA(2161, 189, F2, 6, 79) (dual of [(189, 6), 973, 80]-NRT-code) | [i] | ||
| 5 | No linear OOA(2161, 189, F2, 7, 79) (dual of [(189, 7), 1162, 80]-NRT-code) | [i] | ||
| 6 | No linear OOA(2161, 189, F2, 8, 79) (dual of [(189, 8), 1351, 80]-NRT-code) | [i] | ||