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| WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES |
| Yang Guangzheng①; Yang Xiangyu②; Xu Lijuan① |
| ①Southwest China Research Institute of Electronic Technology Chengdu 610036;②Dept. of Physics Peking University Beijing 100871 |
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Abstract The relation between weight and sidelobes of cross-correlation function and the relations between Hamming distance and numbers in a sequence are systematically studied in this paper. And then the general-purpose weight theorem and Hamming distance theorems are proved. Furthernmore, 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 importance corollarys are obtained.
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Received: 30 March 1997
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1998, Vol. 20 
