Information on Result #551615
There is no linear OOA(2123, 123, F2, 2, 67) (dual of [(123, 2), 123, 68]-NRT-code), because 11 step m-reduction would yield linear OA(2112, 123, F2, 56) (dual of [123, 11, 57]-code), but
- residual code [i] 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(2123, 123, F2, 3, 67) (dual of [(123, 3), 246, 68]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2123, 123, F2, 4, 67) (dual of [(123, 4), 369, 68]-NRT-code) | [i] | ||
| 3 | No linear OOA(2123, 123, F2, 5, 67) (dual of [(123, 5), 492, 68]-NRT-code) | [i] | ||
| 4 | No linear OOA(2123, 123, F2, 6, 67) (dual of [(123, 6), 615, 68]-NRT-code) | [i] | ||
| 5 | No linear OOA(2123, 123, F2, 7, 67) (dual of [(123, 7), 738, 68]-NRT-code) | [i] | ||
| 6 | No linear OOA(2123, 123, F2, 8, 67) (dual of [(123, 8), 861, 68]-NRT-code) | [i] | ||