Information on Result #520618
There is no (78, 130, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2130, 299, S2, 52), but
- adding a parity check bit [i] 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, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (78, 131, 299)-net in base 2 | [i] | m-Reduction | |