Information on Result #552464
There is no linear OOA(2163, 195, F2, 2, 77) (dual of [(195, 2), 227, 78]-NRT-code), because 1 step m-reduction would yield linear OA(2162, 195, F2, 76) (dual of [195, 33, 77]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2163, 196, F2, 76) (dual of [196, 33, 77]-code), but
- adding a parity check bit [i] would yield linear OA(2164, 197, F2, 77) (dual of [197, 33, 78]-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(2163, 195, F2, 3, 77) (dual of [(195, 3), 422, 78]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2163, 195, F2, 4, 77) (dual of [(195, 4), 617, 78]-NRT-code) | [i] | ||
| 3 | No linear OOA(2163, 195, F2, 5, 77) (dual of [(195, 5), 812, 78]-NRT-code) | [i] | ||
| 4 | No linear OOA(2163, 195, F2, 6, 77) (dual of [(195, 6), 1007, 78]-NRT-code) | [i] | ||
| 5 | No linear OOA(2163, 195, F2, 7, 77) (dual of [(195, 7), 1202, 78]-NRT-code) | [i] | ||
| 6 | No linear OOA(2163, 195, F2, 8, 77) (dual of [(195, 8), 1397, 78]-NRT-code) | [i] | ||