Information on Result #3029123
There is no (103, 180, 298)-net in base 2, because 1 times m-reduction would yield (103, 179, 298)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2179, 298, S2, 76), but
- 1 times code embedding in larger space [i] would yield OA(2180, 299, S2, 76), but
- adding a parity check bit [i] would yield OA(2181, 300, S2, 77), but
- the linear programming bound shows that M ≥ 1 701534 483732 309366 379627 599831 667953 620265 452247 654243 213636 197092 258809 472732 009400 892048 846161 501132 017233 770139 644607 995756 675072 / 416986 183620 888257 525186 905206 719820 461288 987101 265210 382835 230557 021727 403215 > 2181 [i]
- adding a parity check bit [i] would yield OA(2181, 300, S2, 77), but
- 1 times code embedding in larger space [i] would yield OA(2180, 299, S2, 76), 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.