Information on Result #2026453
There is no OA(2130, 299, S2, 52), because adding a parity check bit would yield OA(2131, 300, S2, 53), but
- the linear programming bound shows that M ≥ 835249 546947 854888 934372 794550 726415 005267 977549 831092 670722 083310 197796 074880 145116 734749 866628 024518 331713 335458 699168 606177 139658 705940 276891 242247 945827 850895 594922 967040 / 197 715390 170736 894872 721273 822471 708749 073790 701017 854820 620754 271824 242229 889302 199127 061206 521535 614768 633139 933238 769796 252031 306401 > 2131 [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 OA(2130, 299, S2, 53) | [i] | Strength Reduction | |
| 2 | No OA(2129, 298, S2, 52) | [i] | Code Embedding in Larger Space | |
| 3 | No OA(2128, 297, S2, 52) | [i] | ||
| 4 | No OA(2127, 296, S2, 52) | [i] | ||
| 5 | No OA(2126, 295, S2, 52) | [i] | ||
| 6 | No OA(2125, 294, S2, 52) | [i] | ||
| 7 | No OA(2124, 293, S2, 52) | [i] | ||
| 8 | No OOA(2131, 299, S2, 2, 53) | [i] | m-Reduction for OOAs | |
| 9 | No OOA(2130, 299, S2, 2, 52) | [i] | Depth Reduction | |
| 10 | No OOA(2130, 299, S2, 3, 52) | [i] | ||
| 11 | No OOA(2130, 299, S2, 4, 52) | [i] | ||
| 12 | No OOA(2130, 299, S2, 5, 52) | [i] | ||
| 13 | No OOA(2130, 299, S2, 6, 52) | [i] | ||
| 14 | No OOA(2130, 299, S2, 7, 52) | [i] | ||
| 15 | No OOA(2130, 299, S2, 8, 52) | [i] | ||
| 16 | No (78, 130, 299)-net in base 2 | [i] | Extracting Embedded Orthogonal Array | |