Information on Result #2156246
There is no linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), because adding a parity check bit would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(289, 98, F2, 2, 45) (dual of [(98, 2), 107, 46]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(290, 98, F2, 2, 46) (dual of [(98, 2), 106, 47]-NRT-code) | [i] | ||
| 3 | No linear OOA(291, 98, F2, 2, 47) (dual of [(98, 2), 105, 48]-NRT-code) | [i] | ||
| 4 | No linear OOA(288, 98, F2, 2, 44) (dual of [(98, 2), 108, 45]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OOA(288, 98, F2, 3, 44) (dual of [(98, 3), 206, 45]-NRT-code) | [i] | ||
| 6 | No linear OOA(288, 98, F2, 4, 44) (dual of [(98, 4), 304, 45]-NRT-code) | [i] | ||
| 7 | No linear OOA(288, 98, F2, 5, 44) (dual of [(98, 5), 402, 45]-NRT-code) | [i] | ||
| 8 | No linear OOA(288, 98, F2, 6, 44) (dual of [(98, 6), 500, 45]-NRT-code) | [i] | ||
| 9 | No linear OOA(288, 98, F2, 7, 44) (dual of [(98, 7), 598, 45]-NRT-code) | [i] | ||
| 10 | No linear OOA(288, 98, F2, 8, 44) (dual of [(98, 8), 696, 45]-NRT-code) | [i] | ||
| 11 | No digital (44, 88, 98)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(2176, 187, F2, 88) (dual of [187, 11, 89]-code) | [i] | Residual Code | |