Secure Data Transmission Technology Based On Compressed Sensing And Tropical Key Exchange

In recent years,the rapid development of communication technology and sensor technology has formed a wider wireless sensor network than before.The expansion of network scale and the increase of node transmission and forwarding tasks have put forward new requirements on the computing power and secure transmission of nodes in wireless sensor networks.On the one hand,because the wireless sensor network relies on electromagnetic waves as the transmission medium,the wireless sensor network is an open and insecure network,which needs to be encrypted in plain text during transmission.On the other hand,most of the current encryption algorithms do not take into account the consumption of computing resources,especially in the field of image encryption.Multiple iteration operations are extremely computational resources.Therefore,it is necessary to design a secure transmission scheme that minimizes the consumption of computing and transmission resources while ensuring security.Therefore,this paper proposes a compressed sensing secure data transmission technology based on tropical key swapping,which uses a semi-tensor product to improve the tropical key exchange technology,and combines it with compressed sensing.The main innovations of this paper are as follows:(1)This paper proposes a tropical key exchange protocol based on semi-tensor product.It introduces a semi-tensor product into tropical linear algebra,breaks through the dimensional limitation of tropical linear algebra,and fundamentally reduces the size of the matrix used for key exchange,Thereby reducing the communication overhead during key exchange.We give various properties of semi-tensor operations under tropical algebra.At the same time,it is proved that the tropical semi-tensor product can well solve the problem of the rapid decline of the tropical matrix during power operation,and the tropical cryptographic protocol is designed based on this principle.We analyze the computational efficiency of tropical key exchange protocols.We also analyze the relationship between the size of the matrix and the computational overhead,efficiency,and size of the generated matrix,and prove the security of the proposed protocol.(2)This paper proposes a compression-aware secure transmission scheme based on the tropical key exchange protocol.Utilizing the high efficiency of the tropical key exchange technology,the measurement matrix,and the encryption key can be generated in real-time to solve the problem that the node keyspace in the wireless sensor network is limited and insufficient.Because of the shortcomings of compressed sensing technology in transmission,a simple and efficient OTP(One Time Pad)encryption scheme is used to achieve secure transmission.This paper analyzes the feasibility and security of the compressed sensing secure transmission scheme based on the tropical key exchange protocol,including analysis from the image gray histogram,the correlation between adjacent pixels,and image entropy.Use perceptual hashing technology to verify the integrity of image transmission.