Information on Result #550767
There is no linear OOA(259, 66, F2, 2, 31) (dual of [(66, 2), 73, 32]-NRT-code), because 3 step m-reduction would yield linear OA(256, 66, F2, 28) (dual of [66, 10, 29]-code), but
- adding a parity check bit [i] would yield linear OA(257, 67, F2, 29) (dual of [67, 10, 30]-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(259, 66, F2, 3, 31) (dual of [(66, 3), 139, 32]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(259, 66, F2, 4, 31) (dual of [(66, 4), 205, 32]-NRT-code) | [i] | ||
| 3 | No linear OOA(259, 66, F2, 5, 31) (dual of [(66, 5), 271, 32]-NRT-code) | [i] | ||
| 4 | No linear OOA(259, 66, F2, 6, 31) (dual of [(66, 6), 337, 32]-NRT-code) | [i] | ||
| 5 | No linear OOA(259, 66, F2, 7, 31) (dual of [(66, 7), 403, 32]-NRT-code) | [i] | ||
| 6 | No linear OOA(259, 66, F2, 8, 31) (dual of [(66, 8), 469, 32]-NRT-code) | [i] | ||