Information on Result #2153235
There is no OA(2193, 296, S2, 84), because 3 times code embedding in larger space would yield OA(2196, 299, S2, 84), but
- adding a parity check bit [i] would yield OA(2197, 300, S2, 85), but
- the linear programming bound shows that M ≥ 333445 596634 842101 957662 761369 966680 970228 955880 375209 681209 067512 159971 176505 925710 036206 046927 475988 200870 117376 / 1 055603 696799 631985 996897 950925 994087 362055 971326 408581 > 2197 [i]
Mode: Bound.
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 OOA(2194, 296, S2, 2, 85) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2193, 296, S2, 2, 84) | [i] | Depth Reduction | |
| 3 | No OOA(2193, 296, S2, 3, 84) | [i] | ||
| 4 | No OOA(2193, 296, S2, 4, 84) | [i] | ||
| 5 | No OOA(2193, 296, S2, 5, 84) | [i] | ||
| 6 | No OOA(2193, 296, S2, 6, 84) | [i] | ||
| 7 | No OOA(2193, 296, S2, 7, 84) | [i] | ||
| 8 | No OOA(2193, 296, S2, 8, 84) | [i] | ||
| 9 | No (109, 193, 296)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |