On Calculating the Generalized Hamming Weights ofHamming Codes with Simulated Annealing

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 1999, Vol. 22 ›› Issue (4): 95-99.

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On Calculating the Generalized Hamming Weights ofHamming Codes with Simulated Annealing

Luo Shoushan, Zhong Yuwei,Yang Yixian

Department of Basic Science, Beijing University of Posts and Telecommunications, Beijing 100876;
Training Center, Beijing University of Posts and Telecommunications, Beijing 100876;
Department of Information Engineering, Beijing University of Posts and Telecommunications, Beijing 100876

Received:1999-05-06 Online:1999-11-10

Abstract

Abstract: The cryptographical characteristics of the data transmited in wire-tap channel of type two are described by Generalized Hamming weights of linear codes.The expression of the second and the third orders of support set have been given, and then, by using the simulated annealingneural network, the generalized Hamming weights of Hamming codes have been calculated.The results are the same to their theory values.Finally, some suggestionshave been given to the realization of simulated annealing algorithm.

Key words: neural network, simulated annealing, Hamming codes, generalized Hamming weights

CLC Number:

TN919.31F

Luo Shoushan, Zhong Yuwei,Yang Yixian. On Calculating the Generalized Hamming Weights ofHamming Codes with Simulated Annealing[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 1999, 22(4): 95-99.

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On Calculating the Generalized Hamming Weights ofHamming Codes with Simulated Annealing

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