Information on Result #3028840
There is no (100, 179, 293)-net in base 2, because 1 times m-reduction would yield (100, 178, 293)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2178, 293, S2, 78), but
- 6 times code embedding in larger space [i] would yield OA(2184, 299, S2, 78), but
- adding a parity check bit [i] would yield OA(2185, 300, S2, 79), but
- the linear programming bound shows that M ≥ 141567 108182 629161 298008 913795 645564 742059 458353 673336 771152 211645 355218 507110 019263 646714 332578 792395 869231 595182 307914 419827 387939 160064 / 1898 352509 614315 308497 056354 652811 989510 912931 797163 098992 061786 535651 328793 485695 > 2185 [i]
- adding a parity check bit [i] would yield OA(2185, 300, S2, 79), but
- 6 times code embedding in larger space [i] would yield OA(2184, 299, S2, 78), but
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
None.