Information on Result #552214
There is no linear OOA(2153, 179, F2, 2, 73) (dual of [(179, 2), 205, 74]-NRT-code), because 1 step m-reduction would yield linear OA(2152, 179, F2, 72) (dual of [179, 27, 73]-code), but
- adding a parity check bit [i] would yield linear OA(2153, 180, F2, 73) (dual of [180, 27, 74]-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(2153, 179, F2, 3, 73) (dual of [(179, 3), 384, 74]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2153, 179, F2, 4, 73) (dual of [(179, 4), 563, 74]-NRT-code) | [i] | ||
| 3 | No linear OOA(2153, 179, F2, 5, 73) (dual of [(179, 5), 742, 74]-NRT-code) | [i] | ||
| 4 | No linear OOA(2153, 179, F2, 6, 73) (dual of [(179, 6), 921, 74]-NRT-code) | [i] | ||
| 5 | No linear OOA(2153, 179, F2, 7, 73) (dual of [(179, 7), 1100, 74]-NRT-code) | [i] | ||
| 6 | No linear OOA(2153, 179, F2, 8, 73) (dual of [(179, 8), 1279, 74]-NRT-code) | [i] | ||