Information on Result #520732
There is no (102, 176, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2176, 299, S2, 74), but
- adding a parity check bit [i] would yield OA(2177, 300, S2, 75), but
- the linear programming bound shows that M ≥ 3 635392 612138 849947 593748 250106 276323 244402 593086 652587 881083 736015 264809 747844 602393 772282 952895 309564 287520 927482 512784 061552 651238 260008 282439 847339 186197 936622 918149 603328 / 16 596489 288891 597431 806767 668273 879726 323125 162254 820959 724017 639569 206174 043207 555202 380507 742012 504078 557367 932811 307081 > 2177 [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 (102, 177, 299)-net in base 2 | [i] | m-Reduction | |