Elliptic Curve Encryption Research Articles

Design and implementation of ECC combined with OPT encryption algorithm

【Objective】 Combining ECC and OPT, a novel elliptic curve algorithm was proposed, which can effectively resist the reverse calculation of quantum computer and ensure the security of private key. 【Method】 On the basis of elliptic curve encryption algorithm, OPT algorithm was introduced to protect the private key. 【Result】 The signature and verification of messages can be successfully completed by the repeated algorithm on Python platform. Finally, the algorithm is proved to be safe under Shor algorithm and quantum computer attack through algorithm theory. 【Conclusion】 ECC combined with OPT encryption algorithm can effectively resist reversible computation of functional quantum devices, prevent eavesdroppers from forging signatures, and ensure the security of modern public key cryptosystems.

Hardware Optimization and System Design of Elliptic Curve Encryption Algorithm Based on FPGA

Since entering the era of big data, the degree of information sharing is getting higher and higher; the information exchange is becoming more and more convenient, but at the same time, personal information is also easy to be exposed to the network environment, if it is used by criminals to lead to information leakage, and then bring certain risks. Therefore, it is in the information age and do a good job of network information security and confidentiality. At present, the security and secrecy of network information are mainly realized by cryptography. Public key cryptography can encrypt information and ensure the security of information transmission, so it is widely used in the contemporary society. At present, elliptic curve encryption is highly respected in the research field of public key cryptosystem. Elliptic curve encryption is divided into two main points, multiplication and inversion, respectively. Through the comparison of these two algorithms, it can be found that there are several choices if the main research objective is to save time, and the Euclidean extension method is mainly discussed in this paper. In other words, more efficient algorithms are used in the hardware implementation process, and a variety of algorithms can be used instead of a single curve algorithm. In this process, we can find the special features of upper level operation and bottom level finite operation. The upper level operation is KP operation, while the bottom level operation is fast calculation of four kinds of K in finite field operation, and finally realize FPGA algorithm. With the help of Quartus ii developed by predecessors, the upper and lower operations of elliptic curve are carried out using VHDL language. Combined ANXIX9.62 in the elliptic curve of each module to test, so as to ensure the accuracy of the data, reduces the error. According to the test results, the designed chip can efficiently complete the elliptic curve encryption system in the whole process. And the average KP operation time can reach 15.15 ms at 20 MHz frequency. At the same time, the chip can complete the operation on ECC public key with any variable curve in F domain less than 256. Therefore, this chip is a high-speed elliptic curve cryptographic chip with optional system parameters. Based on this, this article on the elliptic curve encryption algorithm based on FPGA hardware implementation of system design, from the view of mathematical study analysis, was carried out on the elliptic curve cryptosystem, according to the above two big difficulty, namely, the polynomial of GF(2), the finite field multiplication, and inversion; there will be a detailed studies of discussion, through software comparison to find the differences between different software, especially the software implementation performance level. In addition, it will also focus on the design of elliptic curve algorithm PGA, so as to explore the solution of the algorithm hardware.

ETP-AKEP Enhanced Three Party Authenticated Key Exchange Protocols for Data Integrity in Cloud Environments

With key exchange protocols, a secure session key is generated between two remote users and servers and exchanged between them. It is generally used to prevent unauthorized users from gaining access to sensitive data. This article presents an enhanced three party authenticated key exchange protocols (ETP-AKE) protocol that does not depend on symmetric key encryption and instead uses asymmetric key encryption. A key component of the proposed ETP-AKE protocol is using elliptic curve encryption in conjunction with a one-way hash function. Its integrity certification was confirmed via the usage of the AVISPA tool package. The proposed protocol is intended to protect against various security threats, including the man-in-the-middle assault, the parallel attack, and the key-compromise attack, among others.

Design of digital image encryption based on elliptic curve cryptography (ECC) algorithm and Radix-64 conversion

The billions of bits of information are transferred each second through the internet every day. The information may be text, image, audio or video etc, accordingly, we need some protection mechanism while sharing confidential data. Generally, RSA algorithm is used for encrypting the Secret images. However, the security provided by Elliptic Curve Cryptography (ECC) is higher with lower sized key than the RSA algorithm. So, this article proposes an extended Elliptic Curve encryption approach for encrypting the secret images. In this system, the secret image is partitioned into three color image planes such as Red, Green and Blue. By applying Radix-64 encoding and Mapping table, these planes are converted into elliptic curve points and then these points are encrypted using ECC algorithm. Again, these points are applied to the Radix-64 decoding and the mapping table to get ciphered-image. At last, the key parameters such as a, b, p and Generator point (G) are embedded in the last four pixel positions of the ciphered-image. In order to get the original secret image, the recipient must extract these key parameters from the encrypted image and then apply the remaining processes to the encrypted image in the opposite order. Experimental results tested using MATLAB R2021b and it shows that the NPCR and UACI values are 99.54% and 28.73 % and better quality feature is attained since the entropy value is almost closer to eight. So, the proposed image encryption has robust capacity to fight against the differential attack.

SM2-based low-cost and efficient parallel modular multiplication

Elliptic curve encryption (ECC) has been widely used in public key cryptography, and modular multiplication is one of the core operations of elliptic curve encryption. This paper presents a low-cost high-speed parallel modular multiplication implementation based on SM2. Using the characteristics of the prime (P256), the two-step multiplication and reduction of modular multiplication are performed in parallel. The 8-part karatsuba algorithm is used in multiplication. In the process of performing multiplication, in order to reduce the consumption of multiplier resources, the karatsuba algorithm is used to improve the ordinary multiplier. The control signal EN=0/1 is used to control the multiplier to perform ordinary multiplication or karatsuba algorithm multiplication. Then the multiplier is reused. 4 improved 32-bit multipliers are used in complete 256-bit modular multiplication. Experiments show that on the 100 MHz Artix-7 FPGA hardware platform, only 12K LUTs are needed, and a modular multiplication operation can be completed in 0.09μs. Comprehensive time and area, our design has certain advantages.

Application of Internet of Things in Smart Factories under the Background of Industry 4.0 and 5G Communication Technology

The key identification element of the smart factory is the interconnection between devices, which solves the production method and development dilemma of the factory under Industry 3.0 and previous models. The new article published by Xinhua News Agency on January 16, 2022, advocates the idea of industry+ Internet, and its main goal is to realize intelligent production. At present, smart factories have become the main development direction of industrial enterprises in the world. 5G technology has been rapidly deployed with the development of mobile communication, and its performance has also been greatly improved compared to previous communication technologies. After China put forward the smart manufacturing 2025 plan, although a large number of enterprises are still lingering in the process of research, learning, and exploration, the idea of Industry 4.0 has taken root in various intelligent manufacturing enterprises, and the development route of Chinese manufacturing enterprises in the future has been ahead of schedule. Direction. Based on the basic theory of Industry 4.0, 5G wireless communication, Internet of Things, and smart factories, this paper firstly distributed questionnaires to 20 enterprises with smart factories by means of network and interview and reanalyzed the collected questionnaires by regression analysis method and then used the questionnaire scale analysis method to analyze the reliability and validity of the questionnaire and combined with the results of the questionnaire analysis to analyze the problems existing in the current smart factory. Finally, based on the background of Industry 4.0 and 5G communication technology, combined with the Internet of Things technology, the development layout of the smart factory is designed; that is, based on the elliptic curve encryption algorithm, the signature mechanism of mutual trust of all electronic devices in the IoT smart factory is set to improve the smart factory.

Design of specific mobile health-care communication encryption system based on natural language processing

Aiming at the problem of poor real-time and security caused by symmetric encryption in common communication encryption systems, a specific mobile communication encryption system based on natural language processing is designed. In the hardware part of the system, the hardware encryption module of communication terminal is designed. In the software part of the system, after the communication content is processed by natural language processing, the elliptic curve encryption algorithm is used to encrypt the specific communication content. Through comparative experiments, it is proved that the success rate of key agreement in encryption system processed by natural language is more than 93%, which has better security.

ETP-AKEP: enhanced three-party authenticated key exchange protocols for data integrity in cloud environments

With key exchange protocols, a secure session key is generated between two remote users, and servers and exchanged between them. It is generally used to prevent unauthorised users from gaining access to sensitive data. This article presents an enhanced three-party authenticated key exchange protocols (ETP-AKE) protocol that does not depend on symmetric key encryption and instead uses asymmetric key encryption. A key component of the proposed ETP-AKE protocol is using elliptic curve encryption in conjunction with a one-way hash function. Its integrity certification was confirmed via the usage of the AVISPA tool package. Our proposed protocol is intended to protect against various security threats, including the man-in-the-middle assault, the parallel attack, and the key-compromise attack, among others.

Editable and Verifiable Anonymous Authentication Incorporating Blockchain in the Internet of Energy

With the continuous development of the Internet of Energy, the access of a large number of distributed renewable energy has caused difficulties in energy management. The traditional energy management mode cannot meet the needs of existing energy management and trading. Therefore, this paper proposes an integrated energy management platform based on blockchain, which allows multiple decentralized energy management systems to conduct unified identity authentication. At the same time, an editable and verifiable anonymous authentication (EVAA) scheme integrating blockchain in the Internet of Energy is designed, which combines the idea of chameleon hash (CH) and the algorithm of elliptic curve encryption (ECC) to realize the dual identity authentication of user information. Finally, the generated certificate is stored in the chain through blockchain consensus. The scheme is mainly constructed using multiple secure cryptographic algorithms, which combine the advantages of blockchain for information authentication. Thus, it can accomplish user cross-system authentication and transaction, and achieve more secure editable anonymous identity authentication through the algorithm performance test, compared with the existing similar schemes under the unified test standard. This paper not only ensures the operation efficiency, but also reflects the obvious advantage of realizing higher intensity security performance.

Application of Hybrid Encryption Algorithm in Hardware Encryption Interface Card

In order to effectively solve the increasingly prominent network security problems, cryptographic algorithm is the key factor affecting the effectiveness of IPSec VPN encryption. Therefore, this paper mainly studies cryptographic algorithms and puts forward the following solutions: briefly analyze the concept and function of IPSec VPN, as well as the basic theoretical knowledge of IPSec Security Protocol and cryptography, and analyze the traditional cryptography, modern cryptography, symmetric cryptographic algorithms and asymmetric algorithms, and their security. At the same time, the executable and security performances of AES and DES algorithms are compared and analyzed. This paper studies the elliptic curve encryption algorithm ECC, expounds the mathematical basis of realizing the algorithm, and compares and analyzes the security performance and execution efficiency of ECC. Based on the above two algorithms, a hybrid encryption algorithm is proposed, and the realization mechanism of the hybrid encryption algorithm is studied and discussed. The hybrid encryption algorithm combines the advantages of ECC and AES. The algorithm selects 128-bit AES and 256-bit ECC. In order to better cover up plaintext C, AES is used to encrypt information. While enhancing security, speed is also considered. The improved encryption, decryption, and signature authentication algorithms are relatively safe and fast schemes. ECC algorithm is improved, and on this basis, ECC algorithm and AES algorithm are combined. Moreover, HMAC message authentication algorithm is added, and the performance of the improved algorithm is significantly improved.

Microgrid Data Security Sharing Method Based on Blockchain under Internet of Things Architecture

The efficient and secure data sharing mechanism can support the microgrid to achieve more accurate business control, while the current data processing methods have the problems of large computing overhead and low data sharing security. Aiming at the current problems, this paper proposes a microgrid data sharing method based on blockchain technology based on the processing mode of cloud-edge-terminal architecture. Firstly, the elliptic curve encryption algorithm is used on the edge side to encrypt the data collected by the terminal equipment reliably, so as to improve the security and efficiency of microgrid key management. Then, in the cloud, the Reputation-Evaluation Practical Byzantine Fault Tolerant mechanism (REPBFT) based on smart contract and reputation evaluation can effectively manage the data sharing of edge computing devices, avoid the waste of network computing resources, and further improve the efficiency of microgrid data sharing. The simulation results show that when the number of edge devices reaches 25, the calculation and communication overhead of the proposed method are 63.46 ms and 2.66 KB, respectively, and when the processing data reaches 1024 KB, the security of the microgrid system is still 95%, which can realize safe and reliable data sharing and interaction, and can stably support the optimal operation of the microgrid.

A Trusted IoT Communication Architecture Based on Blockchain and Named Data Network

The trusted cross-domain sharing capability of the Internet of Things (IoT) terminals needs to be improved urgently. Aiming at the technical issues of routing overhead and authentication security of data sharing of IoT devices, this paper proposes a trusted transmission architecture for network-chain collaboration. Introduce the mobile edge computing (MEC) platform in named data network (NDN) to deploy blockchain light nodes and improve the PBFT consensus algorithm. Besides, a cross-domain authentication algorithm based on elliptic curve encryption is proposed. Simulation results show that the improved PBFT and cross-domain authentication algorithm can effectively improve IoT cross-domain sharing capabilities.

Asymmetric Encryption of Invisible Structured Light 3D Imaging

The research proposes a novel invisible structured light 3D object encryption method. The system projects invisible light on the target plane to achieve three-dimensional object reconstruction. The encryption is conducted using keys from eight stripe patterns and two fingerprint patterns using an elliptic curve encryption algorithm to generate eight corresponding ciphertexts. The three-dimensional object is reconstructed using eight fringe patterns with the elliptic curve decryption algorithm. The proposed method greatly reduces the interference of background light in the system to achieve a better 3D imaging accuracy. The elliptic curve cryptosystem is able to ensure 3D object information transmission security. The simulation results validated the robustness and effectiveness of the proposed scheme. The proposed method has practical security-sensitive applications.

Secure Data Aggregation Aided by Privacy Preserving in Internet of Things

With the rapid development of Internet of Things (IoT), more and more wireless smart devices are widely deployed in its typical applications. These devices acquire numerous data, and their security transmission is a challenge issue due to the openness and broadcast nature of wireless network. Security data aggregation (SDA) plays a significant role in IoT which can not only protect the data privacy but also reduce the network traffic among smart devices. In this paper, a multiple application SDA (MASDA) mechanism is proposed and it can ensure the data confidentiality without losing the integrity of data transmission. Firstly, we discuss an improved homomorphic message authentication code (iHMAC) which can verify the integrity of sensing data and eliminate the injection of false data. Secondly, a multiple application elliptic curve cryptography mechanism (iECC) is described. We introduce multiple types of data simultaneous encryption into an elliptic curve encryption system. This encryption mechanism aggregates the encrypted sensing data and prevents the sensing from being tampered and leaked in relay nodes. Finally, MASDA is a multiple application mechanism and provide both the confidentiality and integrity compared with other SDA schemes. It fuses the sensing data of different applications in a single data packet, and the base station can recover them one-by-one. The security analysis and the simulation experiments verify that MASDA has better performances in terms of the security, the computation cost, the communication overhead, and the data accuracy.

Euler Phi Function and Gamma Function Based Elliptic Curve Encryption for Secured Group Communication

Euler Phi Function and Gamma Function Based Elliptic Curve Encryption for Secured Group Communication

The impact of hardware specifications on reaching quantum advantage in the fault tolerant regime

We investigate how hardware specifications can impact the final run time and the required number of physical qubits to achieve a quantum advantage in the fault tolerant regime. Within a particular time frame, both the code cycle time and the number of achievable physical qubits may vary by orders of magnitude between different quantum hardware designs. We start with logical resource requirements corresponding to a quantum advantage for a particular chemistry application, simulating the FeMo-co molecule, and explore to what extent slower code cycle times can be mitigated by using additional qubits. We show that in certain situations, architectures with considerably slower code cycle times will still be able to reach desirable run times, provided enough physical qubits are available. We utilize various space and time optimization strategies that have been previously considered within the field of error-correcting surface codes. In particular, we compare two distinct methods of parallelization: Game of Surface Code's Units and AutoCCZ factories. Finally, we calculate the number of physical qubits required to break the 256-bit elliptic curve encryption of keys in the Bitcoin network within the small available time frame in which it would actually pose a threat to do so. It would require 317 × 106 physical qubits to break the encryption within one hour using the surface code, a code cycle time of 1 μs, a reaction time of 10 μs, and a physical gate error of 10−3. To instead break the encryption within one day, it would require 13 × 106 physical qubits.

Research on Privacy Data Protection Based on Trusted Computing and Blockchain

Aiming at the problems of low protection accuracy and long time consumption in traditional privacy data protection methods, a privacy data protection method based on trusted computing and blockchain is proposed. Set up the Internet node secure transmission protocol through the trusted node uplink transmission protocol and the downlink transmission protocol, and according to the transmission protocol, combined with the blockchain technology, the ECC elliptic curve encryption algorithm is used to encrypt the amount of data existing in the blockchain, and the AES symmetric encryption algorithm is used to encrypt the private data that exists in the nonblockchain, thereby completing the protection of network private data. The simulation experiment results show that the privacy data protection accuracy of the proposed method is higher and the work efficiency is faster.

High Performance Reconfigurable Elliptic Curve Cipher Processor Implementation

Elliptic Curve Encryption (ECC) has been widely used in the field of digital signatures in communication security. ECC standards and the diversification of application scenarios put forward higher requirements for the flexibility of ECC processors. Therefore, it is necessary to design a flexible and reconfigurable processor to adapt to changing standards. The cryptographic processor chip designed in this paper supports the choice of prime and binary fields, supports the maximum key length of 576 bits, uses microcode programming to achieve reconfigurable function, and significantly improves the flexibility of the dedicated cryptographic processor. At the same time, the speed of modular multiplication and modular division can be greatly improved under the condition of keeping the low level of hardware resources through a carefully designed modular unit of operation. After using FPGA for hardware implementation, it is configured into a 256-bit key length. The highest clock frequency of this design can reach 55.7MHz, occupying 12425LUTS. Compared with a similar design, the performance is also greatly improved. After MALU module optimization design, modular multiplication module division also has significant advantages in computing time consumption.

Smart Grid Nontechnical Loss Detection Based on Power Gateway Consortium Blockchain

The rapid development of the smart grid brings convenience to human beings. It enables users to know the real-time power supply capacity, the power quality, and the electricity price fluctuation of the grid. However, there are still some threats in the smart grid, which increase all kinds of expenses in the grid and cause great trouble to energy distribution. Among them, the man-made nontechnical loss (NTL) problem is particularly prominent. Recently, there are also some NTL detection programs. However, most of the schemes need huge amounts of supporting data and high labor costs. As a result, the NTL problem has not been well solved. In order to better avoid these risks, problems such as tampering of smart meter energy data, bypassing the smart meter directly connected to the grid, and imbalance between revenue and expenditure of the smart grid are tackled, and the threat scene of NTL is constructed. A hierarchical grid gateway blockchain is proposed and designed, and a new decentralized management MDMS system is constructed. The intelligent contract combined with the elliptic curve encryption technology is used to detect the storage and the acquisition of power data, and the detection of NTL problems is realized. At the same time, it has a certain ability to resist attacks such as replay, monitoring, and tampering. We tested the time consumption and throughput of this method on Hyperledger Fabric. At the same time, eight indexes of other methods proposed in the literature are compared. This method has a good effect.

Information Transmission Scheme between Train and RBC Based on AES-ECC Algorithm

The existing information encryption scheme between the Radio Block Center (RBC) and the ground has problems such as weak keys, and the vehicle-ground information has a potential threat of being stolen. In order to ensure the safety of driving, on the basis of ensuring the correct transmission of train and ground information, research on more efficient encryption schemes has become the focus of work. In response to this trend, a hybrid encryption scheme based on AES and ECC encryption algorithms is proposed. The AES algorithm replaces the original 3DES algorithm, and the elliptic curve encryption algorithm ECC is used to encrypt the session key to improve the encryption security level. The encryption simulation, avalanche effect verification and execution efficiency test of fixed-length data are completed on Visual Stduio 2013 platform, and compared with the original encryption scheme. The results show that the scheme can meet the avalanche effect and the accuracy of data transmission, and it takes less time than the original encryption scheme, and is more suitable for two-way large-capacity information transmission between vehicles and ground.