Information on Result #3029694
There is no (109, 196, 294)-net in base 2, because 1 times m-reduction would yield (109, 195, 294)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2195, 294, S2, 86), but
- 5 times code embedding in larger space [i] would yield OA(2200, 299, S2, 86), but
- adding a parity check bit [i] would yield OA(2201, 300, S2, 87), but
- the linear programming bound shows that M ≥ 6062 729839 358588 077129 287653 744482 312929 554681 473387 231550 995785 979703 893542 676711 534073 403563 590830 522368 / 1273 266655 863433 158102 727954 895995 795355 723661 > 2201 [i]
- adding a parity check bit [i] would yield OA(2201, 300, S2, 87), but
- 5 times code embedding in larger space [i] would yield OA(2200, 299, S2, 86), 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.