WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES

Yang Guangzheng; Yang Xiangyu; Xu Lijuan

Volume 20 Issue 5

Sep. 1998

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Article Navigation > Journal of Electronics & Information Technology > 1998 > 20(5): 631-640

Yang Guangzheng, Yang Xiangyu, Xu Lijuan. WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(5): 631-640.

Citation:

Yang Guangzheng, Yang Xiangyu, Xu Lijuan. WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(5): 631-640.

Yang Guangzheng, Yang Xiangyu, Xu Lijuan. WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(5): 631-640.

Citation:

Yang Guangzheng, Yang Xiangyu, Xu Lijuan. WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(5): 631-640.

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WEIGHT THEOREM AND HAMMING DISTANCE THEOREMS OF BINARY SEQUENCES

Received Date: 1997-03-30
Rev Recd Date: 1997-10-29
Publish Date: 1998-09-19

Abstract

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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References(1)

References

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