The paper objective is to determine the basic schemes and their characteristics for ensuring the security of Internet of Things nodes using symmetric authentication cryptographic microcircuits. The main results that had been obtained by using method of structural and functional design represent potentially possible options for using symmetric authentication cryptomicrocircuits to ensure the protection of Internet of Things nodes. The analysis of the presented schemes’ functioning made it possible to form the following conclusions. The host-side private key storage authentication scheme provides a fast symmetric authentication process, but requires secure storage of the private key on the host side. The simplest authentication scheme without storing a secret key on the host side, which does not imply the use of a cryptographic chip on the host side, provides a fast symmetric authentication process, but has a relatively low cryptographic strength, since the interaction in the system is performed without a random component in cryptographic transformations, which assumes constant the nature of requests in the system, and, consequently, the possibility of cryptanalysis of messages. To increase the cryptographic strength of such a scheme, it is advisable to introduce into the interaction system a random component in cryptographic transformations and use additional hashing procedures with an intermediate key, which leads to the complication of the scheme due to double hashing, but significantly increases the level of information security of IoT nodes. Downloading software in the system is implemented using secret encryption and authentication keys, which are permanently stored in the secure non-volatile memory of cryptographic chips of IoT nodes. In this case, session keys for encrypting the firmware code or decrypting it are generated on the client and host side, respectively. This approach allows creating unique downloads of the original firmware code (application) by preventing cryptanalysts from obtaining its images and algorithms. The peculiarity of the scheme of exchange of symmetric session encryption keys of messages are: use of a secret key stored on the side of the host and the client; the determination of the session key is performed as a result of hashing a random number with a secret key, that is, the exchange of the session key is performed in an encrypted secure form.

Дослідження присвячено розробленню методу мінімізації втрат потужності тягово-транспортних засобів при русі по опорній поверхні з утворенням колії. Метою даного дослідження є підвищення тягового коефіцієнту корисної дії позашляхових тягово-транспортних засобів шляхом визначення та мінімізації втрат потужності на утворення колії на опорній поверхні під впливом ходових частин засобу. Підвищення коефіцієнту корисної дії тягово-транспортних засобів, котрий складає 55÷65 %, є пріоритетним напрямом розвитку механізації сільського господарства. Частина втрат, які залежать від конструкції засобу, в процесі експлуатації майже не контролюється. Але на суттєві втрати в ходових системах, які доходять до 20 %, можна впливати. Суть впливу полягає в узгоджені налаштування ходових систем тягово-транспортних засобів із станом опорної поверхні. Зокрема, в процесі даного дослідження був проведений аналіз величин потужностей, що витрачаються на переміщення елементів системи «остов машини -підвіскаходова система -опорна поверхня, яка деформується» на підставі визначення силових та кінематичних факторів. На підставі прямих вимірювань визначаються втрати потужності ходовими системами на утворення колії на опорній поверхні та переміщення елементів ходової системи. Запропоновано визначати потужність, яка витрачається на утворення колії здійснювати шляхом множення частки сили ваги, яка припадає на відповідний рушій на швидкість руйнування опорної поверхні. На підставі отриманих результатів та аналізу експериментальних даних зроблено такий висновок. Запропонована методика визначення втрат потужності на утворення колії тягово-транспортними засобами на опорній поверхні дозволяє обґрунтовувати вибір параметрів ходових систем з метою підвищення тягового коефіцієнту корисної діїКлючові слова: тягово-транспортний засіб, ходова система, втрати потужності, сніговий покрив UDC 629.114

Subject of research: procedures of asymmetric authentication of Internet of Things nodes to ensure the highest level of security using cryptographic chips. The aim of the article is to study the ways of potential use of cryptographic chips to ensure secure authentication of Internet of Things sites using asymmetric cryptography procedures. The article solves the following tasks: analysis of hardware support technologies for asymmetric cryptography of the Internet of Things; definition of secure procedures for asymmetric authentication of Internet of Things sites and their constituent elements: creation of certificates, verification of public and private keys. Research methods: method of structural and functional analysis and design of complex systems, methods of identification and authentication of information objects, cryptographic methods of information protection, methods of security analysis of distributed information systems. The novelty of the study is the analysis of hardware support technologies for asymmetric cryptography of Internet of Things with cryptographic chips and the definition of structural and functional schemes for the implementation of procedures for asymmetric authentication of Internet of Things. Distinctive features of the provided asymmetric authentication schemes and procedures are: ensuring an increased level of information security through secure storage of cryptographic keys, digital signatures, certificates, confidential data in a novelty security environment protected from external attacks and no need to store private keys on the host side. The results of the work are procedures and schemes of application of cryptomicrops of asymmetric authentication to ensure the protection of Internet of Things. Analysis of the functioning of the presented schemes allowed to draw the following conclusions. The proposed structural and functional schemes for the implementation of procedures for asymmetric authentication of Internet of Things using cryptographic chips give the user an easy opportunity to implement cryptography without expertise in this field. These chips use the ECDSA digital signature computing and verification hardware with elliptical curve advantages, as a proven and reliable authentication algorithm, and the ECDH symmetric encryption session key generation unit. The provided schemes and procedures support three components of information security, namely: confidentiality, integrity and authenticity of data. Examples of potential applications of the provided schemes and procedures can be implemented using any asymmetric authentication chip, but it is recommended that they be used to generate encryption session keys and where digital signatures are required to verify data and code for integrity and authenticity.

The field of application of the protected microprocessor systems includes information security functions: authentication of subjects and objects of information interaction, information encryption, integrity control, access control, key management. Today, the urgent task is to establish the security of microprocessor-based systems using a variety of computer simulation software environments. The work analyzes the most effective and affordable

Context. In telecommunications and information systems with an increased noise component the noise-resistant cyclic BCH and Reed-Solomon codes are used. The adjustment and correcting errors in a message require some effective decoding methods. One of the stages in the procedure of decoding RS and BCH codes to determine the position of distortions is the search for the roots of the error locator polynomial. The calculation of polynomial roots, especially for codes with significant correction capacity is a laborious task requiring high computational complexity. That is why the improvement of BCH and RS codes decoding methods providing to reduce the computational complexity is an urgent task. Objective. The investigation and synthesis of the accelerated roots search algorithm of the error locator polynomial presented as an affine polynomial with coefficients in the finite fields, which allows accelerating the process of BCH and RS code decoding. Method. The classical roots search method based on the Chan's algorithm is performed using the arithmetic of the Galois finite fields and the laborious calculation, in this case depends on the number of addition and multiplication operations. For linearized polynomials, the roots search procedure based on binary arithmetic is performed taking into account the values obtained at the previous stages of the calculation, which provides the minimum number of arithmetic operations. Results. An accelerated algorithm for calculating the values of the error locator polynomial at all points of the GF(2 m) finite field for linearized polynomials based on the Berlekamp-Massey method has been developed. The algorithm contains a minimum number of addition operations, due to the use at each stage of the calculations the values obtained at the previous step, as well as the addition in the finite field GF(2). A modified roots search method for affine polynomials over the finite fields has been proposed to determine error positions in the code word while decoding the cyclic BCH and RS codes. Conclusions. The scientific newness of the work is to improve the algorithm of calculating the roots of the error locator polynomial, which coefficients belong to the elements of the finite field. At the same time it simplifies the procedure for cyclic BCH and RS codes decoding, due to reducing the computational complexity of one of the decoding stages, especially finding the error positions using the modified Berlekamp-Massey algorithm. These facts are confirmed by the simulation program results of the roots search of the error locator polynomial algorithm. It is shown, that the application of the accelerated method permits to reach a gain on speed of 1.5 times.