Information on Result #552312
There is no linear OOA(2157, 177, F2, 2, 77) (dual of [(177, 2), 197, 78]-NRT-code), because 3 step m-reduction would yield linear OA(2154, 177, F2, 74) (dual of [177, 23, 75]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2155, 178, F2, 74) (dual of [178, 23, 75]-code), but
- adding a parity check bit [i] would yield linear OA(2156, 179, F2, 75) (dual of [179, 23, 76]-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(2157, 177, F2, 3, 77) (dual of [(177, 3), 374, 78]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2157, 177, F2, 4, 77) (dual of [(177, 4), 551, 78]-NRT-code) | [i] | ||
| 3 | No linear OOA(2157, 177, F2, 5, 77) (dual of [(177, 5), 728, 78]-NRT-code) | [i] | ||
| 4 | No linear OOA(2157, 177, F2, 6, 77) (dual of [(177, 6), 905, 78]-NRT-code) | [i] | ||
| 5 | No linear OOA(2157, 177, F2, 7, 77) (dual of [(177, 7), 1082, 78]-NRT-code) | [i] | ||
| 6 | No linear OOA(2157, 177, F2, 8, 77) (dual of [(177, 8), 1259, 78]-NRT-code) | [i] | ||