Information on Result #550579
There is no linear OOA(216, 54, F2, 2, 7) (dual of [(54, 2), 92, 8]-NRT-code), because 1 step m-reduction would yield linear OA(215, 54, F2, 6) (dual of [54, 39, 7]-code), but
- adding a parity check bit [i] would yield linear OA(216, 55, F2, 7) (dual of [55, 39, 8]-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(216, 54, F2, 3, 7) (dual of [(54, 3), 146, 8]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(216, 54, F2, 4, 7) (dual of [(54, 4), 200, 8]-NRT-code) | [i] | ||
| 3 | No linear OOA(216, 54, F2, 5, 7) (dual of [(54, 5), 254, 8]-NRT-code) | [i] | ||
| 4 | No linear OOA(216, 54, F2, 6, 7) (dual of [(54, 6), 308, 8]-NRT-code) | [i] | ||
| 5 | No linear OOA(216, 54, F2, 7, 7) (dual of [(54, 7), 362, 8]-NRT-code) | [i] | ||
| 6 | No linear OOA(216, 54, F2, 8, 7) (dual of [(54, 8), 416, 8]-NRT-code) | [i] | ||