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Second-Order Side-Channel Attacks on Kyber: Targeting the Masked Hash Function 被引量:2
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作者 WANG Ya-Qi HUANG Fan +1 位作者 DUAN Xiao-Lin HU Hong-Gang 《密码学报(中英文)》 CSCD 北大核心 2024年第6期1415-1436,共22页
Recently,several PC oracle based side-channel attacks have been proposed against Kyber.However,most of them focus on unprotected implementations and masking is considered as a counter-measure.In this study,we extend P... Recently,several PC oracle based side-channel attacks have been proposed against Kyber.However,most of them focus on unprotected implementations and masking is considered as a counter-measure.In this study,we extend PC oracle based side-channel attacks to the second-order scenario and successfully conduct key-recovery attacks on the first-order masked Kyber.Firstly,we analyze the potential joint information leakage.Inspired by the binary PC oracle based attack proposed by Qin et al.at Asiacrypt 2021,we identify the 1-bit leakage scenario in the masked Keccak implementation.Moreover,we modify the ciphertexts construction described by Tanaka et al.at CHES 2023,extending the leakage scenario from 1-bit to 32-bit.With the assistance of TVLA,we validate these leakages through experiments.Secondly,for these two scenarios,we construct a binary PC oracle based on t-test and a multiple-valued PC oracle based on neural networks.Furthermore,we conduct practical side-channel attacks on masked Kyber by utilizing our oracles,with the implementation running on an ARM Cortex-M4 microcontroller.The demonstrated attacks require a minimum of 15788 and 648 traces to fully recover the key of Kyber768 in the 1-bit leakage scenario and the 32-bit leakage scenario,respectively.Our analysis may also be extended to attack other post-quantum schemes that use the same masked hash function.Finally,we apply the shuffling strategy to the first-order masked imple-mentation of the Kyber and perform leakage tests.Experimental results show that the combination strategy of shuffling and masking can effectively resist our proposed attacks. 展开更多
关键词 side-channel attack plaintext-checking oracle post-quantum cryptography masked Kyber masked hash function
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Quantum-Resistant Cryptographic Primitives Using Modular Hash Learning Algorithms for Enhanced SCADA System Security
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作者 Sunil K.Singh Sudhakar Kumar +5 位作者 Manraj Singh Savita Gupta Razaz Waheeb Attar Varsha Arya Ahmed Alhomoud Brij B.Gupta 《Computers, Materials & Continua》 2025年第8期3927-3941,共15页
As quantum computing continues to advance,traditional cryptographic methods are increasingly challenged,particularly when it comes to securing critical systems like Supervisory Control andData Acquisition(SCADA)system... As quantum computing continues to advance,traditional cryptographic methods are increasingly challenged,particularly when it comes to securing critical systems like Supervisory Control andData Acquisition(SCADA)systems.These systems are essential for monitoring and controlling industrial operations,making their security paramount.A key threat arises from Shor’s algorithm,a powerful quantum computing tool that can compromise current hash functions,leading to significant concerns about data integrity and confidentiality.To tackle these issues,this article introduces a novel Quantum-Resistant Hash Algorithm(QRHA)known as the Modular Hash Learning Algorithm(MHLA).This algorithm is meticulously crafted to withstand potential quantum attacks by incorporating advanced mathematical and algorithmic techniques,enhancing its overall security framework.Our research delves into the effectiveness ofMHLA in defending against both traditional and quantum-based threats,with a particular emphasis on its resilience to Shor’s algorithm.The findings from our study demonstrate that MHLA significantly enhances the security of SCADA systems in the context of quantum technology.By ensuring that sensitive data remains protected and confidential,MHLA not only fortifies individual systems but also contributes to the broader efforts of safeguarding industrial and infrastructure control systems against future quantumthreats.Our evaluation demonstrates that MHLA improves security by 38%against quantumattack simulations compared to traditional hash functionswhilemaintaining a computational efficiency ofO(m⋅n⋅k+v+n).The algorithm achieved a 98%success rate in detecting data tampering during integrity testing.These findings underline MHLA’s effectiveness in enhancing SCADA system security amidst evolving quantum technologies.This research represents a crucial step toward developing more secure cryptographic systems that can adapt to the rapidly changing technological landscape,ultimately ensuring the reliability and integrity of critical infrastructure in an era where quantum computing poses a growing risk. 展开更多
关键词 Hash functions post-quantum cryptography quantum-resistant hash functions network security supervisory control and data acquisition(SCADA)
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Research on Efficient Storage Consistency Verification Technology for On-Chain and Off-Chain Data
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作者 Wei Lin Yi Sun 《Computers, Materials & Continua》 2025年第12期5117-5134,共18页
To enable efficient sharing of unbounded streaming data,this paper introduces blockchain technology into traditional cloud data,proposing a hybrid on-chain/off-chain storage model.We design a real-time verifiable data... To enable efficient sharing of unbounded streaming data,this paper introduces blockchain technology into traditional cloud data,proposing a hybrid on-chain/off-chain storage model.We design a real-time verifiable data structure that is more suitable for streaming data to achieve efficient real-time verifiability for streaming data.Based on the notch gate hash function and vector commitment,an adaptive notch gate hash tree structure is constructed,and an efficient real-time verifiable data structure for on-chain and off-chain stream data is proposed.The structure binds dynamic root nodes sequentially to ordered leaf nodes in its child nodes.Only the vector commitment of the dynamic root node is stored on the chain,and the complete data structure is stored off-chain.This structure ensures tamperproofing against malicious off-chain cloud servers of off-chain cloud servers.Preserves storage scalability space,realizes the immediate verification of stream data upon arrival,and the computational overhead of on-chain and off-chain hybrid storage verification is only related to the current data volume,which is more practical when dealing with stream data with unpredictable data volume.We formalize this as an efficient real-time verification scheme for stream data in on-chain and off-chain hybrid storage.Finally,the technology’s security and performance were empirically validated through rigorous analysis. 展开更多
关键词 On-chain and off-chain hybrid storage verifiable technology slot gate hash function vector commitment
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Optimized SHA-1 hash function implemented on FPGA 被引量:2
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作者 薛也 胡爱群 《Journal of Southeast University(English Edition)》 EI CAS 2014年第1期13-16,共4页
In order to meet the needs of higher operation speed and lower energy consumption an optimized SHA-1 algorithm is proposed.It combines two methods loop-unfolding and pre-processing.In the process intermediate variable... In order to meet the needs of higher operation speed and lower energy consumption an optimized SHA-1 algorithm is proposed.It combines two methods loop-unfolding and pre-processing.In the process intermediate variables are introduced in the iterations and pre-calculated so that the original single-threading operation can perform in a multi-threading way.This optimized algorithm exploits parallelism to shorten the critical path for hash operations.And the cycles of the original algorithm are reduced from 80 to 41 which greatly improves the operation speed.Therefore the shortened iterations of the optimized design require a smaller amount of hardware resource thus achieving a lower energy consumption. The optimized algorithm is implemented on FPGA field programmable gate array .It can achieve a throughput rate of 1.2 Gbit /s with the maximum clock frequency of 91 MHz reaching a fair balance between operation speed and throughput rate.The simulation results show that compared with other optimized SHA-1 algorithms this algorithm obtains higher operation speed and throughput rate without compromising the security of the original SHA-1 algorithm. 展开更多
关键词 FPGA hash function loop unfolding pre-processing FPGA
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Security analysis of a one-way hash function based on spatiotemporal chaos 被引量:2
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作者 王世红 单鹏洋 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第9期79-85,共7页
The collision and statistical properties of a one-way hash function based on spatiotemporal chaos are investigated. Analysis and simulation results indicate that collisions exist in the original algorithm and, therefo... The collision and statistical properties of a one-way hash function based on spatiotemporal chaos are investigated. Analysis and simulation results indicate that collisions exist in the original algorithm and, therefore, the original algorithm is insecure and vulnerable. An improved algorithm is proposed to avoid the collisions. 展开更多
关键词 COLLISION spatiotemporal chaos hash function
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One-way hash function construction based on the spatiotemporal chaotic system 被引量:2
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作者 罗玉玲 杜明辉 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第6期84-93,共10页
Based on the spatiotemporal chaotic system, a novel algorithm for constructing a one-way hash function is proposed and analysed. The message is divided into fixed length blocks. Each message block is processed by the ... Based on the spatiotemporal chaotic system, a novel algorithm for constructing a one-way hash function is proposed and analysed. The message is divided into fixed length blocks. Each message block is processed by the hash compression function in parallel. The hash compression is constructed based on the spatiotemporal chaos. In each message block, the ASCII code and its position in the whole message block chain constitute the initial conditions and the key of the hash compression function. The final hash value is generated by further compressing the mixed result of all the hash compression vulues. Theoretic analyses and numerical simulations show that the proposed algorithm presents high sensitivity to the message and key, good statistical properties, and strong collision resistance. 展开更多
关键词 hash value spatiotemporal chaos hash compression function
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One-way hash function based on hyper-chaotic cellular neural network 被引量:1
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作者 杨群亭 高铁杠 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第7期2388-2393,共6页
The design of an efficient one-way hash function with good performance is a hot spot in modern cryptography researches. In this paper, a hash function construction method based on cell neural network with hyper-chaos ... The design of an efficient one-way hash function with good performance is a hot spot in modern cryptography researches. In this paper, a hash function construction method based on cell neural network with hyper-chaos characteristics is proposed. First, the chaos sequence is gotten by iterating cellular neural network with Runge Kutta algorithm, and then the chaos sequence is iterated with the message. The hash code is obtained through the corre- sponding transform of the latter chaos sequence. Simulation and analysis demonstrate that the new method has the merit of convenience, high sensitivity to initial values, good hash performance, especially the strong stability. 展开更多
关键词 one-way hash function HYPER-CHAOS cellular neural network Runge Kutta formula
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On the Security of Multivariate Hash Functions 被引量:1
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作者 罗宜元 来学嘉 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第2期219-222,共4页
Multivariate hash functions are a type of hash functions whose compression function is explicitly defined as a sequence of multivariate equations. Billet et al designed the hash function MQ-HASH and Ding et al propose... Multivariate hash functions are a type of hash functions whose compression function is explicitly defined as a sequence of multivariate equations. Billet et al designed the hash function MQ-HASH and Ding et al proposed a similar construction. In this paper, we analyze the security of multivariate hash functions and conclude that low degree multivariate functions such as MQ-HASH are neither pseudo-random nor unpredictable. There may be trivial collisions and fixed point attacks if the parameters of the compression function have been chosen. And they are also not computation-resistance, which makes MAC forgery easily. 展开更多
关键词 hash functions MACS MULTIVARIATE
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Hash function construction using weighted complex dynamical networks
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作者 宋玉蓉 蒋国平 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期172-177,共6页
A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then... A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then, each block is divided into components, and the nodes and weighted edges are well defined from these components and their relations. Namely, the WCDN closely related to the original message is established. Furthermore, the node dynamics of the WCDN are chosen as a chaotic map. After chaotic iterations, quantization and exclusive-or operations, the fixed-length hash value is obtained. This scheme has the property that any tiny change in message can be diffused rapidly through the WCDN, leading to very different hash values. Analysis and simulation show that the scheme possesses good statistical properties, excellent confusion and diffusion, strong collision resistance and high efficiency. 展开更多
关键词 hash function weighted complex dynamical networks chaotic map CRYPTOGRAPHY
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Constructing a one-way hash function based on the unified chaotic system
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作者 龙敏 彭飞 陈关荣 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第10期3588-3595,共8页
A new one-way hash function based on the unified chaotic system is constructed. With different values of a key parameter, the unified chaotic system represents different chaotic systems, based on which the one-way has... A new one-way hash function based on the unified chaotic system is constructed. With different values of a key parameter, the unified chaotic system represents different chaotic systems, based on which the one-way hash function algorithm is constructed with three round operations and an initial vector on an input message. In each round operation, the parameters are processed by three different chaotic systems generated from the unified chaotic system. Feed-forwards are used at the end of each round operation and at the end of each element of the message processing. Meanwhile, in each round operation, parameter-exchanging operations are implemented. Then, the hash value of length 160 bits is obtained from the last six parameters. Simulation and analysis both demonstrate that the algorithm has great flexibility, satisfactory hash performance, weak collision property, and high security. 展开更多
关键词 Hash function unified chaotic system CRYPTOGRAPHY
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Hash function based on the generalized Henon map
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作者 郑凡 田小建 +1 位作者 李雪妍 吴斌 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第5期1685-1690,共6页
A new Hash function based on the generalized Henon map is proposed. We have obtained a binary sequence with excellent pseudo-random characteristics through improving the sequence generated by the generalized Henon map... A new Hash function based on the generalized Henon map is proposed. We have obtained a binary sequence with excellent pseudo-random characteristics through improving the sequence generated by the generalized Henon map, and use it to construct Hash function. First we divide the message into groups, and then carry out the Xor operation between the ASCII value of each group and the binary sequence, the result can be used as the initial values of the next loop. Repeat the procedure until all the groups have been processed, and the final binary sequence is the Hash value. In the scheme, the initial values of the generalized Henon map are used as the secret key and the messages are mapped to Hash values with a designated length. Simulation results show that the proposed scheme has strong diffusion and confusion capability, good collision resistance, large key space, extreme sensitivity to message and secret key, and it is easy to be realized and extended. 展开更多
关键词 the generalized Henon map Hash function CHAOS
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Message Authentication with a New Quantum Hash Function
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作者 Yalan Wang Yuling Chen +1 位作者 Haseeb Ahmad Zhanhong Wei 《Computers, Materials & Continua》 SCIE EI 2019年第5期635-648,共14页
To ensure the security during the communication,we often adopt different ways to encrypt the messages to resist various attacks.However,with the computing power improving,the existing encryption and authentication sch... To ensure the security during the communication,we often adopt different ways to encrypt the messages to resist various attacks.However,with the computing power improving,the existing encryption and authentication schemes are being faced with big challenges.We take the message authentication as an example into a careful consideration.Then,we proposed a new message authentication scheme with the Advanced Encryption Standard as the encryption function and the new quantum Hash function as the authentication function.Firstly,the Advanced Encryption Standard algorithm is used to encrypt the result of the initial message cascading the corresponding Hash values,which ensures that the initial message can resist eavesdropping attack.Secondly,utilizing the new quantum Hash function with quantum walks can be much more secure than traditional classical Hash functions with keeping the common properties,such as one-wayness,resisting different collisions and easy implementation.Based on these two points,the message authentication scheme can be much more secure than previous ones.Finally,it is a new way to design the message authentication scheme,which provides a new thought for other researchers in the future.Our works will contribute to the study on the new encryption and authentication functions and the combination of quantum computing with traditional cryptology in the future. 展开更多
关键词 Message authentication symmetric encryption quantum Hash function quantum walk
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A New Black Box Analysis of Hash Functions Based on Block Ciphers
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作者 达林 多磊 +1 位作者 Matt Henricksen 李超 《Journal of Shanghai Jiaotong university(Science)》 EI 2008年第6期664-669,共6页
For the 64 most basic ways to construct a hash function H:{0,1} → {0,1}n from a block cipher E:{0,1}n × {0,1}n → {0,1}n, Black et al.provided a formal and quantitative treatment of the 64 constructions, and pro... For the 64 most basic ways to construct a hash function H:{0,1} → {0,1}n from a block cipher E:{0,1}n × {0,1}n → {0,1}n, Black et al.provided a formal and quantitative treatment of the 64 constructions, and proved that 20 schemes are collision resistant.This paper improves the upper and lower bounds and make contrast with a hash constructed from a random oracle.These 20 schemes have only one kind of collision resistance upper and lower bounds.In addition, we present new advantages for finding second preimages. 展开更多
关键词 hash functions block cipher Merkel Damagard construction black box model
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A Fast Pseudorandom Number Generator with BLAKE Hash Function
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作者 WANG Houzhen ZHANG Huanguo 《Wuhan University Journal of Natural Sciences》 CAS 2010年第5期393-397,共5页
This paper presents a fast pseudorandom generation algorithm,which is based on the BLAKE hash function and can pass the random test of the NIST(National Institute of Standards and Technology)Statistical Test Suite.Thr... This paper presents a fast pseudorandom generation algorithm,which is based on the BLAKE hash function and can pass the random test of the NIST(National Institute of Standards and Technology)Statistical Test Suite.Through theoretical analysis and experimental imitation,our new algorithm is proven to be more secure and efficient than G-SHA1.Simultaneously,we introduce and discuss the BLAKE in detail.Its security shows that can be utilized to generate pseudorandom bit sequences,which the experimental results show the BLAKE hash function has excellent pseudorandomness.Therefore,we believe the BLAKE is one of the most potential candidate algorithms of SHA-3 program. 展开更多
关键词 CRYPTOGRAPHY pseudorandom number generator hash function National Institute of Standards and Technology Statistical Test Suite
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Secure hash function based on chaotic tent map with changeable parameter
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作者 Li Yantao Xiao Di Deng Shaojiang 《High Technology Letters》 EI CAS 2012年第1期7-12,共6页
A new algorithm for a novel hash function, based on chaotic tent map with changeable parameter, is proposed and analyzed. The one dimensional and piecewise tent map with changeable parameters decided by the position i... A new algorithm for a novel hash function, based on chaotic tent map with changeable parameter, is proposed and analyzed. The one dimensional and piecewise tent map with changeable parameters decided by the position index of blocked messages is chosen, and blocked massages translated into ASCII code values are employed as the iteration time of the chaotic tent map. The final 128-bit hash value is generated by logical XOR operation on intermediate hash values. Theoretical analysis and computer simulation indicate that the proposed algorithm can satisfy the performance requirements of hash function. 展开更多
关键词 CHAOS the tent map hash function changeable parameter
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Deployment of Hash Function to Enhance Message Integrity in Wireless Body Area Network (WBAN)
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作者 Ahmed Alzubi Arif Sari 《International Journal of Communications, Network and System Sciences》 2016年第12期613-621,共10页
Message integrity is found to prove the transfer information of patient in health care monitoring system on the human body in order to collect and communicate the human personal data. Wireless body area network (WBAN)... Message integrity is found to prove the transfer information of patient in health care monitoring system on the human body in order to collect and communicate the human personal data. Wireless body area network (WBAN) applications are the fast growing technology trend but security and privacy are still largely ignored, since they are hard to achieve given the limited computation and energy resources available at sensor node level. In this paper, we propose simple hash based message authentication and integrity code algorithm for wireless sensor networks. We test the proposed algorithm in MATLAB on path loss model around the human body in two scenarios and compare the result before and after enhancement and show how sensors are connected with each other to prove the message integrity in monitoring health environment. 展开更多
关键词 Message Integrity WBAN Security Health Care Monitoring System Hash function Path Loss
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Tibetan Sorting Method Based on Hash Function
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作者 AnJian-CaiRang Dawei Song 《Journal on Artificial Intelligence》 2022年第2期85-98,共14页
Sorting the Tibetan language quickly and accurately requires first identifying the component elements that make up Tibetan syllables and then sorting by the priority of the component.Based on the study of Tibetan text... Sorting the Tibetan language quickly and accurately requires first identifying the component elements that make up Tibetan syllables and then sorting by the priority of the component.Based on the study of Tibetan text structure,grammatical rules and syllable structure,we present a structurebased Tibetan syllable recognition method that uses syllable structure instead of grammar.This method avoids complicated Tibetan grammar and recognizes the components of Tibetan syllables simply and quickly.On the basis of identifying the components of Tibetan syllables,a Tibetan syllable sorting algorithm that conforms to the language sorting rules is proposed.The core of the Tibetan syllable sorting algorithm is a hash function.Research has found that the sorting of all legal Tibetan syllables requires eight components of information.The hash function is based on this discovery and can be assigned corresponding weights according to different sorting verify the effectiveness of the Tibetan sorting algorithm,we established an experimental corpus using the Tibetan sorting standard document recognized by the majority of Tibetan users,namely the New Tibetan Orthographic Dictionary.Experiments show that this method produces results completely consistent with standard reference works,with an accuracy of 100%,and with minimal computational time. 展开更多
关键词 Hash function TIBETAN component element PRIORITY
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Numeric Identifier Transmission Algorithm Using Hash Function
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作者 Vladyslav Kutsman 《Open Journal of Applied Sciences》 2023年第9期1581-1587,共7页
When developing programs or websites, it is very convenient to use relational databases, which contain powerful and convenient tools that allow to work with data very flexibly and get the necessary information in a ma... When developing programs or websites, it is very convenient to use relational databases, which contain powerful and convenient tools that allow to work with data very flexibly and get the necessary information in a matter of milliseconds. A relational database consists of tables and records in these tables, each table must have a primary key, in particular, it can be a number of BIGINT type, which is a unique index of a record in the table, which allows to fetch operation with maximum speed and O (1) complexity. After the operation of writing a row to the table of database, the program receives the row identifier ID in the form of a number, and in the future this ID can be used to obtain this record. In the case of a website, this could be the GET method of the http protocol with the entry ID in the request. But very often it happens that the transmission of an identifier in the clear form is not safe, both for business reasons and for security reasons of access to information. And in this case, it is necessary to create additional functionality for checking access rights and come up with a way to encode data in such a way that it would be impossible to determine the record identifier, and this, in turn, leads to the fact that the program code becomes much more complicated and also increases the amount of data, necessary to ensure the operation of the program. This article presents an algorithm that solves these problems “on the fly” without complicating the application logic and does not require resources to store additional information. Also, this algorithm is very reliable since it is based on the use of hash functions and synthesized as a result of many years of work related to writing complex systems that require an increased level of data security and program performance. 展开更多
关键词 CRYPTOGRAPHY Security CODING Hash functions ALGORITHMS Fintech BANKING Golang POSTGRESQL
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QBIoT:A Quantum Blockchain Framework for IoT with an Improved Proof-of-Authority Consensus Algorithm and a Public-Key Quantum Signature
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作者 Ang Liu Qing Zhang +3 位作者 Shengwei Xu Huamin Feng Xiu-bo Chen Wen Liu 《Computers, Materials & Continua》 SCIE EI 2024年第7期1727-1751,共25页
The Internet of Things(IoT)is a network system that connects physical devices through the Internet,allowing them to interact.Nowadays,IoT has become an integral part of our lives,offering convenience and smart functio... The Internet of Things(IoT)is a network system that connects physical devices through the Internet,allowing them to interact.Nowadays,IoT has become an integral part of our lives,offering convenience and smart functionality.However,the growing number of IoT devices has brought about a corresponding increase in cybersecurity threats,such as device vulnerabilities,data privacy concerns,and network susceptibilities.Integrating blockchain technology with IoT has proven to be a promising approach to enhance IoT security.Nevertheless,the emergence of quantum computing poses a significant challenge to the security of traditional classical cryptography used in blockchain,potentially exposing it to quantum cyber-attacks.To support the growth of the IoT industry,mitigate quantum threats,and safeguard IoT data,this study proposes a robust blockchain solution for IoT that incorporates both classical and post-quantum security measures.Firstly,we present the Quantum-Enhanced Blockchain Architecture for IoT(QBIoT)to ensure secure data sharing and integrity protection.Secondly,we propose an improved Proof of Authority consensus algorithm called“Proof of Authority with Random Election”(PoARE),implemented within QBIoT for leader selection and new block creation.Thirdly,we develop a publickey quantum signature protocol for transaction verification in the blockchain.Finally,a comprehensive security analysis of QBIoT demonstrates its resilience against cyber threats from both classical and quantum adversaries.In summary,this research introduces an innovative quantum-enhanced blockchain solution to address quantum security concernswithin the realmof IoT.The proposedQBIoT framework contributes to the ongoing development of quantum blockchain technology and offers valuable insights for future research on IoT security. 展开更多
关键词 IOT quantum blockchain public-key quantum signature quantum hash function
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Improved homomorphic evaluation for hash function based on TFHE
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作者 Benqiang Wei Xianhui Lu 《Cybersecurity》 2025年第3期179-192,共14页
Homomorphic evaluation of hash functions offers a solution to the challenge of data integrity authentication in the context of homomorphic encryption.The earliest attempt to achieve homomorphic evaluation of SHA-256 h... Homomorphic evaluation of hash functions offers a solution to the challenge of data integrity authentication in the context of homomorphic encryption.The earliest attempt to achieve homomorphic evaluation of SHA-256 hash function was proposed by Mella and Susella(in:Cryptography and coding—14th IMA international conference,IMACC 2013.Lecture notes in computer science,vol 8308.Springer,Heidelberg,pp 28–44,2013.https://doi.org/10.1007/978-3-642-45239-0_3.)based on the BGV scheme.Unfortunately,their implementation faced significant limitations due to the exceedingly high multiplicative depth,rendering it impractical.Recently,a homomorphic implementation of SHA-256 based on the TFHE scheme(Homomorphic evaluation of SHA-256.https://github.com/zama-ai/tfhe-rs/tree/main/tfhe/examp les/sha256_bool)brings it from theory to reality,however,its current efficiency remains insufficient.In this paper,we revisit the homomorphic evaluation of the SHA-256 hash function in the context of TFHE,further reducing the reliance on gate bootstrapping and enhancing evaluation latency.Specifically,we primarily utilize ternary gates to reduce the number of gate bootstrappings required for logic functions in message expansion and addition of modulo 232 in iterative compression.Furthermore,we demonstrate that our optimization techniques are applicable to the Chinese commercial cryptographic hash SM3.Finally,we give specific comparative implementations based on the TFHE-rs library.Experiments demonstrate that our optimization techniques lead to an improvement of approximately 35–50%compared with the state-of-the-art result under different cores. 展开更多
关键词 Transciphering TFHE Hash function IMPLEMENTATION
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