WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES
二进制序列的重只定理和Hamming距离定理

The relation between weight and sidelobes of cross-correlation function and the relations between Hamming distance and run numbers in a sequence are systematically studied in this paper. And then the general-purpose weight theorem and Hamming distance theorems are proved. Furthermore, the transformation relations of weights, Hamming distances between the orthogonal codes,complementary codes, and the code pair of standard orthogonal transformation in the procedure of Tseng dissolving, and the association between them and runs are studied. And then, a series of important corollarys are obtained.