Information on Result #551103
There is no linear OOA(289, 98, F2, 2, 45) (dual of [(98, 2), 107, 46]-NRT-code), because 1 step m-reduction would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-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(289, 98, F2, 3, 45) (dual of [(98, 3), 205, 46]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(289, 98, F2, 4, 45) (dual of [(98, 4), 303, 46]-NRT-code) | [i] | ||
| 3 | No linear OOA(289, 98, F2, 5, 45) (dual of [(98, 5), 401, 46]-NRT-code) | [i] | ||
| 4 | No linear OOA(289, 98, F2, 6, 45) (dual of [(98, 6), 499, 46]-NRT-code) | [i] | ||
| 5 | No linear OOA(289, 98, F2, 7, 45) (dual of [(98, 7), 597, 46]-NRT-code) | [i] | ||
| 6 | No linear OOA(289, 98, F2, 8, 45) (dual of [(98, 8), 695, 46]-NRT-code) | [i] | ||