| Abstract:This paper consists of two chapters. Chapter1, focusing on asymmetric error-correcting codes, generalizes some lower bounds, constructions and corresponding decoding algorithms from binary asymmetric codes to the case q-ary, where q is a prime power. Chapter2, based on Traveling Salesman Problem and Ant Colony Optimization, proposes a new method——mapping gene order into function curves——to get sickle genes of Alzheimer’s Disease. and then obtains some features which agree with the clinical symptom. Fur-thermore, chapter2also obtains5proper sickle genes, two of which have been verified to be relevant to Alzheimer’s Disease and Diabetes mellitus, respectively. |