Information on Result #2153185
There is no OA(2182, 289, S2, 82), because 10 times code embedding in larger space would yield OA(2192, 299, S2, 82), but
- adding a parity check bit [i] would yield OA(2193, 300, S2, 83), but
- the linear programming bound shows that M ≥ 47301 037877 562348 126535 964476 521603 387556 508620 623293 070152 196591 060102 430290 310541 234357 121691 993687 546336 928736 477184 / 2 739614 630568 907331 852802 953012 407724 450650 903550 704398 106875 > 2193 [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(2183, 289, S2, 2, 83) | [i] | m-Reduction for OOAs | |
| 2 | No OOA(2182, 289, S2, 2, 82) | [i] | Depth Reduction | |
| 3 | No OOA(2182, 289, S2, 3, 82) | [i] | ||
| 4 | No OOA(2182, 289, S2, 4, 82) | [i] | ||
| 5 | No OOA(2182, 289, S2, 5, 82) | [i] | ||
| 6 | No OOA(2182, 289, S2, 6, 82) | [i] | ||
| 7 | No OOA(2182, 289, S2, 7, 82) | [i] | ||
| 8 | No OOA(2182, 289, S2, 8, 82) | [i] | ||
| 9 | No (100, 182, 289)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |