Information on Result #2153424
There is no OA(2207, 298, S2, 90), because 1 times code embedding in larger space would yield OA(2208, 299, S2, 90), but
- adding a parity check bit [i] would yield OA(2209, 300, S2, 91), but
- the linear programming bound shows that M ≥ 437987 836379 661851 428112 482969 460104 960459 291237 979833 080590 515802 667419 590325 215760 903409 709975 863296 / 433 753365 263741 276278 643266 060465 678125 > 2209 [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(2208, 298, S2, 2, 91) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2207, 298, S2, 2, 90) | [i] | Depth Reduction | |
| 3 | No OOA(2207, 298, S2, 3, 90) | [i] | ||
| 4 | No OOA(2207, 298, S2, 4, 90) | [i] | ||
| 5 | No OOA(2207, 298, S2, 5, 90) | [i] | ||
| 6 | No OOA(2207, 298, S2, 6, 90) | [i] | ||
| 7 | No OOA(2207, 298, S2, 7, 90) | [i] | ||
| 8 | No OOA(2207, 298, S2, 8, 90) | [i] | ||
| 9 | No (117, 207, 298)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |