Information on Result #550654
There is no linear OOA(242, 54, F2, 2, 21) (dual of [(54, 2), 66, 22]-NRT-code), because 1 step m-reduction would yield linear OA(241, 54, F2, 20) (dual of [54, 13, 21]-code), but
- adding a parity check bit [i] would yield linear OA(242, 55, F2, 21) (dual of [55, 13, 22]-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(242, 54, F2, 3, 21) (dual of [(54, 3), 120, 22]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(242, 54, F2, 4, 21) (dual of [(54, 4), 174, 22]-NRT-code) | [i] | ||
| 3 | No linear OOA(242, 54, F2, 5, 21) (dual of [(54, 5), 228, 22]-NRT-code) | [i] | ||
| 4 | No linear OOA(242, 54, F2, 6, 21) (dual of [(54, 6), 282, 22]-NRT-code) | [i] | ||
| 5 | No linear OOA(242, 54, F2, 7, 21) (dual of [(54, 7), 336, 22]-NRT-code) | [i] | ||
| 6 | No linear OOA(242, 54, F2, 8, 21) (dual of [(54, 8), 390, 22]-NRT-code) | [i] | ||