Information on Result #3029884
There is no (111, 202, 292)-net in base 2, because 1 times m-reduction would yield (111, 201, 292)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2201, 292, S2, 90), but
- 7 times code embedding in larger space [i] would yield OA(2208, 299, S2, 90), but
- adding a parity check bit [i] would yield OA(2209, 300, S2, 91), but
- the linear programming bound shows that M ≥ 437987 836379 661851 428112 482969 460104 960459 291237 979833 080590 515802 667419 590325 215760 903409 709975 863296 / 433 753365 263741 276278 643266 060465 678125 > 2209 [i]
- adding a parity check bit [i] would yield OA(2209, 300, S2, 91), but
- 7 times code embedding in larger space [i] would yield OA(2208, 299, S2, 90), 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.