Information on Result #2153080
There is no OA(2175, 290, S2, 78), because 9 times code embedding in larger space would yield OA(2184, 299, S2, 78), but
- adding a parity check bit [i] would yield OA(2185, 300, S2, 79), but
- the linear programming bound shows that M ≥ 141567 108182 629161 298008 913795 645564 742059 458353 673336 771152 211645 355218 507110 019263 646714 332578 792395 869231 595182 307914 419827 387939 160064 / 1898 352509 614315 308497 056354 652811 989510 912931 797163 098992 061786 535651 328793 485695 > 2185 [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(2176, 290, S2, 2, 79) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2175, 290, S2, 2, 78) | [i] | Depth Reduction | |
| 3 | No OOA(2175, 290, S2, 3, 78) | [i] | ||
| 4 | No OOA(2175, 290, S2, 4, 78) | [i] | ||
| 5 | No OOA(2175, 290, S2, 5, 78) | [i] | ||
| 6 | No OOA(2175, 290, S2, 6, 78) | [i] | ||
| 7 | No OOA(2175, 290, S2, 7, 78) | [i] | ||
| 8 | No OOA(2175, 290, S2, 8, 78) | [i] | ||
| 9 | No (97, 175, 290)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |