The formation of new systems based on the synthesis of mobile Internet technologies with cyberspace significantly expands the possibilities of creating smart technologies based on mesh and sensor networks. This allows to significantly increase the speed of information transmission using modern wireless communication channels based on technology standards IEEE802.16, IEEE802.16e, IEEE802.15.4, IEEE802.11, Bluetooth 5, 6. It is possible to use SCADA automation and scheduling systems with new functions of managing information flows of various technological processes, to create new principles for building hyperphysical social systems (CPSS) – a set of subjects and objects of cybernetic, physical and social worlds that allow to form “smart” communities, on the one hand , and intellectual space on the other. However, the development of modern computer systems, the advent of full-scale quantum computers significantly impairs the security of modern security systems. According to NIST experts, a full-scale quantum computer breaks both symmetric and asymmetric cryptosystems in polynomial time, which significantly reduces their stability. The goal of the work is to develop mechanisms for providing security services based on post-quantum algorithms - crypto-code constructions. To ensure security in the post-quantum period – the emergence of a full-scale quantum computer, NIST specialists suggest the use of post-quantum algorithms. Structural schemes of crypto-code constructions of McEliece and Niederreiter on algebrogeometric codes are used in the work. The paper proposes mechanisms of post-quantum cryptography, which allow to ensure the stability of not only communication channels, but also elements of the structure of the management system of SCADA systems, not only in critical infrastructure, but also in modern wireless communication channels. The basis of post-quantum encryption algorithms is the combination of algorithms (schemes) of crypto-code structures with cryptosystems on unprofitable codes (multi-channel cryptography), as well as the possibility of combining them with digital steganography methods. The developed approach provides the ability to hide elements of management commands, and the use of different channels provides the ability to hide individual elements of cryptograms. The use of post-quantum encryption algorithms provides a significant increase in the cryptographic stability of security mechanisms SCADA-systems.
The formation of new systems based on the synthesis of mobile Internet technologies with cyberspace significantly expands the possibilities of creating smart technologies based on mesh and sensor networks. This allows to significantly increase the speed of information transmission using modern wireless communication channels based on technology standards IEEE802.16, IEEE802.16e, IEEE802.15.4, IEEE802.11, Bluetooth 5, 6. It is possible to use SCADA automation and scheduling systems with new functions of managing information flows of various technological processes, to create new principles for building hyperphysical social systems (CPSS) – a set of subjects and objects of cybernetic, physical and social worlds that allow to form “smart” communities, on the one hand , and intellectual space on the other. However, the development of modern computer systems, the advent of full-scale quantum computers significantly impairs the security of modern security systems. According to NIST experts, a full-scale quantum computer breaks both symmetric and asymmetric cryptosystems in polynomial time, which significantly reduces their stability. The goal of the work is to develop mechanisms for providing security services based on post-quantum algorithms - crypto-code constructions. To ensure security in the post-quantum period – the emergence of a full-scale quantum computer, NIST specialists suggest the use of post-quantum algorithms. Structural schemes of crypto-code constructions of McEliece and Niederreiter on algebrogeometric codes are used in the work. The paper proposes mechanisms of post-quantum cryptography, which allow to ensure the stability of not only communication channels, but also elements of the structure of the management system of SCADA systems, not only in critical infrastructure, but also in modern wireless communication channels. The basis of post-quantum encryption algorithms is the combination of algorithms (schemes) of crypto-code structures with cryptosystems on unprofitable codes (multi-channel cryptography), as well as the possibility of combining them with digital steganography methods. The developed approach provides the ability to hide elements of management commands, and the use of different channels provides the ability to hide individual elements of cryptograms. The use of post-quantum encryption algorithms provides a significant increase in the cryptographic stability of security mechanisms SCADA-systems.
The development of military (state) control systems in modern conditions of hybrid warfare requires the possibility of rapid expansion of both functionality and scaling of the physical and logical basis of management, increasing the range of digitization and use of both military and civilian communication channels to manage troops and weapons. Not only the computing power of the enemy, the means of suppressing and / or blocking the communication channels of the control system, but also the development of quantum technologies that place new and more stringent requirements on security mechanisms based on symmetric and asymmetric cryptography algorithms. According to NIST, a full-scale quantum computer breaks both symmetric and asymmetric cryptosystems in polynomial time, significantly reducing their resilience. The paper proposes mechanisms of post-quantum cryptography, which allow to ensure the stability of not only communication channels, but also elements of the structure of the control system. The basis of post-quantum encryption algorithms is the combination of algorithms (schemes) of crypto-code structures with cryptosystems on unprofitable codes (multi-channel cryptography), as well as the possibility of combining them with digital steganography methods. This approach provides the ability to hide elements of management commands, and the use of different channels provides the ability to hide individual elements of cryptograms.
The object of the research is the development of a method for ensuring the authenticity and integrity of data in wireless channels based on post-quantum cryptosystems. The development of modern digital technologies ensures the transition to smart technologies and the formation of Next Generation Networks. The formation of smart technologies, as a rule, uses wireless communication channel standards IEEE 802.11X, IEEE 802.15.4, IEEE 802.16, which use only authentication protocols and privacy mechanisms, which are formed on symmetric algorithms. In the conditions of the post-quantum period (the advent of a full-scale quantum computer), the stability of such algorithms is questioned. Such systems, as a rule, are formed on the basis of the synthesis of socio-cyber-physical systems and cloud technologies, which simplifies the conduct of Advanced Persistent Threat attacks, both on the internal circuit of execution systems and on external control systems. The creation of multi-circuit information protection systems allows for an objective assessment of the current state of the system as a whole and the formation of preventive measures to counter cyber threats. The proposed method of providing basic security services: confidentiality, integrity and authenticity based on crypto-code constructions takes into account the level of secrecy of information transmitted over wireless channels and/or stored in databases of socio-cyber-physical systems. The use of post-quantum algorithms – McEliece/Niederreiter crypto-code constructions on elliptic/modified elliptic/lossy/Low-density parity-check code provides the necessary level of stability in the post-quantum cryptoperiod (crypto-stability at the level of 1025–1035 group operations), speed and probability of information (Рerr not lower than 10-9–10-12). The proposed method of information exchange using wireless communication channels ensures their practical implementation on resource-limited devices (creating of CCC on the GF field (24–26).
The development of mobile technologies and their integration with Internet of Things and smart technologies form both cyber-physical and socio-cyber-physical systems. In such systems, as a rule, wireless communication channels are used, in which SSL/TLS protocols are used to provide security services (confidentiality, integrity and authenticity). However, this protocol is not only vulnerable to "Meeting in the Middle", POODLE, BEAST, CRIME, BREACH attacks, but with the advent of a full-scale quantum computer, it can be broken. The article proposes a protocol based on quantum algorithms – crypto-code constructions, which will ensure not only resistance to current attacks, but also stability in the post-quantum period. To ensure the "hybridity" of services, it is proposed to use McEliece and Niederreiter crypto-code constructions and the improved UMAC algorithm based on McEliece crypto-code design. The use of crypto-code constructions provides not only resistance to attacks, but also simplifies the formation of a connection – the parameters of elliptic curves are used for the transmission of the common key. This approach significantly reduces the time of connecting mobile gadgets and simplifies the procedure of agreement before data transfer.
The development of computing technologies has made it possible not only to expand the range of mobile communication services, but also to significantly increase computing capabilities. The emergence of mobile Internet, 4G, 5G technologies makes it possible to talk about a fundamentally different approach to ensuring the quality of service to network customers, creating fundamentally new approaches to ensuring the efficiency and reliability of transmitted information flows. However, such a rapid growth of GSM technologies without the introduction of security services leads to active actions of attackers and cyber terrorists, the emergence of new and modification of known threats. Mobile communication channels are used by cybercriminals for selfish purposes of access to database resources not only of the mobile Internet, but also to the databases of information and communication systems and networks. The article proposes a fundamentally new approach to ensuring the closure of the voice channel of the mobile Internet based on post-quantum cryptography algorithms – McEliece and Niederreiter crypto-code constructions on elliptic codes. This approach provides not only the offline mode of closing the voice channel and creating a VPN channel in tunnel mode, but also the required level of cryptographic strength in the face of the emergence of full-scale quantum computers.
Due to the development of technologies for quantum computing and the introduction of quantum computer, there is a threat to the current state of protection of cryptographic systems with a public key. With an advent of quantum computer that would have the volume of register required for the methods of quantum cryptanalysis, the stability of existing crypto algorithms will significantly degrade. This necessitates the creation of algorithms resistant to the methods of quantum cryptanalysis. The European project «New European Schemes for Signatures, Integrity, and Encryptions» (NESSIE) and the National Institute of Standards and Technologies (NIST) of the USA announced a start of recruiting the applicants for the contest of post-quantum algorithms whose standards are planned to be adopted over 2020–2022. In order to compare, a procedure for evaluation was selected based on integral assessments of unconditional and conditional criteria. An analysis was conducted among the algorithms that fulfilled general unconditional criteria. As conditional criteria, we chose numerical characteristics of algorithms. In addition, additional unconditional criteria were put forward.A relevant task is the comparative analysis and evaluation of a possibility to use the post-quantum mechanisms, which are represented by the algorithms that already exist, depending on the conditions of applying them. At present, only the possibility of using the appropriate crypto transformations over a post-quantum period is being examined, but the analysis of advantages of one over another has not been run yet. In addition, it is necessary to evaluate the very possibility to use such algorithms taking into account those constraints that are imposed by the existing information systems.Results of present research allow us to understand current state in the development of post-quantum crypto algorithms and to predict their possible further development.This forecast is important in that the post-quantum cryptographic mechanisms represent a new stage in the development and use of cryptography. In addition, the practical value of the research consists in obtaining the evaluation for post-quantum algorithms.
Cryptography is an art of hiding the significant data or information with some other codes. It is a practice and study of securing information and communication. Thus, cryptography prevents third party intervention over the data communication. The cryptography technology transforms the data into some other form to enhance security and robustness against the attacks. The thrust of enhancing the security among data transfer has been emerged ever since the need of Artificial Intelligence field came into a market. Therefore, modern way of computing cryptographic algorithm came into practice such as AES, 3DES, RSA, Diffie-Hellman and ECC. These public-key encryption techniques now in use are based on challenging discrete logarithms for elliptic curves and complex factorization. However, those two difficult problems can be effectively solved with the help of sufficient large-scale quantum computer. The Post Quantum Cryptography (PQC) aims to deal with an attacker who has a large-scale quantum computer. Therefore, it is essential to build a robust and secure cryptography algorithm against most vulnerable pre-quantum cryptography methods. That is called ‘Post Quantum Cryptography’. Therefore, the present crypto system needs to propose encryption key and signature size is very large.in addition to careful prediction of encryption/decryption time and amount of traffic over the communication wire is required. The post-quantum cryptography (PQC) article discusses different families of post-quantum cryptosystems, analyses the current status of the National Institute of Standards and Technology (NIST) post-quantum cryptography standardisation process, and looks at the difficulties faced by the PQC community.