Mipomersen is an antisense drug that reduces a protein in the liver cells called apolipoprotein B (apo-B). Apo-B plays a role in producing low density lipoprotein cholesterol (LDL-C) (the "bad" cholesterol) and moving it from the liver to one's bloodstream. High LDL-C is an independent risk factor for the development of CHD or other diseases of blood vessels. It has been shown that lowering LDL-C reduces the risk of heart attacks and other major adverse cardiovascular events. The purpose of this study is to determine whether mipomersen safely and effectively lowers LDL-C in patients with high cholesterol who are at high risk for CHD and who are already on the maximally tolerated dose of statin.