Information on Result #550590
There is no linear OOA(223, 42, F2, 2, 11) (dual of [(42, 2), 61, 12]-NRT-code), because 1 step m-reduction would yield linear OA(222, 42, F2, 10) (dual of [42, 20, 11]-code), but
- adding a parity check bit [i] would yield linear OA(223, 43, F2, 11) (dual of [43, 20, 12]-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(223, 42, F2, 3, 11) (dual of [(42, 3), 103, 12]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(223, 42, F2, 4, 11) (dual of [(42, 4), 145, 12]-NRT-code) | [i] | ||
| 3 | No linear OOA(223, 42, F2, 5, 11) (dual of [(42, 5), 187, 12]-NRT-code) | [i] | ||
| 4 | No linear OOA(223, 42, F2, 6, 11) (dual of [(42, 6), 229, 12]-NRT-code) | [i] | ||
| 5 | No linear OOA(223, 42, F2, 7, 11) (dual of [(42, 7), 271, 12]-NRT-code) | [i] | ||
| 6 | No linear OOA(223, 42, F2, 8, 11) (dual of [(42, 8), 313, 12]-NRT-code) | [i] | ||