Pseudo-random Sequence Generator Research Articles

Demonstration and Comparison of On-Chip High-Frequency Test Methods for RSFQ Circuits

On-chip high-frequency test for Rapid Single Flux Quantum (RSFQ) circuits without external high-frequency equipment is very attractive and promising. The test method based on Shift Register (SR) is widely used for long time. Recently, we have proposed two test methods based on Pseudo Random Binary Sequence (PRBS) generator. In this paper, a Full Adder (FA) is taken as an example of circuit under test and the design methodology of the above approaches is presented. For FA with the traditional and two proposed approaches, the high-frequency test circuits are fabricated and tested. We demonstrate the successful measurement of the three circuits with the maximum operating frequency of the full adder at 23.3 GHz, 26.2 GHz and 27.4 GHz respectively. Based on the experimental results, the clock frequency measurement in the proposed two PRBS based test systems is more accurate and time-saving, which is advantageous for high-frequency RSFQ circuits measurement.

60-GHz Single Flux Quantum Pulse Transfer Circuit for Serial Biasing

Serial Biasing (SB) is a technique to reduce the total DC bias current of Rapid Single Flux Quantum (RSFQ) circuits by partitioning a design into several islands with isolated grounds and sequential biasing. In this paper we focus on the design of a driver-receiver pair (DRP) to transfer pulses between islands that are galvanically isolated for pulse streams. We discuss both DRP itself and the structure for its testing, that comprises several DRPs connected in series, on-chip pseudo random binary sequence (PRBS) generator for circuit stimulation, and HF output interface. We use the layout of DRPs’ chain as an example to illustrate the advantage of the grapevine (GV) approach, introduced earlier, to manage the bias current flowing into and out of an island. The GV current management technique is analyzed by both electromagnetic simulations and measurement, compared, and contrasted with the so-called ‘straightforward’ (SF) approach. The maximum operational frequency for SF test structure was 10 GHz with zero margins for the SB current. Measurements of the GV structure at 10 GHz demonstrated BER of 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">−12</sup> with ±5.8% margins for SB current. We observed the correct operation of the 5-island DRP chain up to 60 GHz using the grapevine approach for SB current management. All chips were fabricated at MIT Lincoln Laboratory using SFQ5ee fab node.

Power Optimization of 50 GHz ERSFQ Circuits

The Energy-efficient Rapid Single Flux Quantum (ERSFQ) logic family offers zero-static power dissipation. Any ERSFQ circuit requires a feeding Josephson transmission line (FJTL), a relatively large active transmission line, which serves as an accurate voltage source. For proper operation, the FJTL needs to be continuously pumped at a frequency that is equal to or higher than the highest clock frequency of the ERSFQ circuit. We selected an on-chip pseudo-random binary sequence (PRBS) generator as the example circuit since it naturally facilitates quantitative measurements of operating bias margins in terms of bit error rate (BER). Using external and internal flux pump sources, we performed extensive experimental studies on BER for ERSFQ PRBS generators operating at clock frequencies up to 50 GHz. We paid special attention to the over-pumping regime, where the FJTL pump frequency is higher than the PRBS clock frequency and confirmed its superiority in improving BER. At 35.56 GHz clock frequency, a group of 4 PRBS generators and 4 individual FJTLs with the bias current ratio (BCR) equal to 1, had a BER lower than 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-12</sup> and bias margins of ±25% for internal and external flux pump sources over-pumping at 6.25% above clock frequency. The maximal operational clock frequency of a single ERSFQ PRBS generator with intrinsic pump source (+6.25% over-pumping) and BER <10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-12</sup> was 49.53 GHz. We also focused on optimization of the FJTL's size to reduce the power consumption and the area occupied by the FJTL itself. All chips were fabricated at MIT-Lincoln Laboratory using the SFQ5ee fab node. Future steps required for better understanding of ERSFQ operation are discussed.

Analysis of Distinguishable Security between the One-Time Password Extraction Function Family and Random Function Family

A one-time password is a security system that uses a password that is only used once for authentication, and it is commonly used in multi-factor authentication systems. The process of generating an OTP is very similar to generating pseudorandom sequences in cryptography. However, since only a part of the bit string is used in OTP, an algorithm is needed to extract that part. In addition, the OTP process also includes converting the value of the bit string value into decimal form for human perception. This paper focuses on analyzing the extraction function, which is the step before the hexadecimal is reprocessed into the decimal form. We analyze a function family, which includes functions used in the process of extracting a bit string in terms of distinguishable security. As a result, we conclude that the OTP extraction function family is vulnerable in terms of distinguishable security compared to the random function family.

Analysis of pseudorandom number generation processes in EP CRYSTALS-Dilithium

The paper provides an analysis of pseudorandom number generation processes in the Crystals-Dilithium post-quantum electronic signature scheme, a finalist in the NIST PQC post-quantum cryptography competition. The main focus is on the pseudo-random number generator based on the AES block cipher in counter mode. A formal model was built for this pseudo-random number generator that meets the requirements of the latest version of the AIS 31 standard, containing requirements for secure pseudorandom number generators. A pseudo-random number generator based on the AES block cipher in counter mode is shown to satisfy the requirements of functional class DRG.3, provided that the initial value for the generator is obtained from a truly random number source (either a physically truly random or a non-physical truly random source) or another generator of pseudo-random numbers having a security class not lower than the DRG class.3. In addition, the use of shake128/256 for the generation of pseudorandom sequences in Crystals-Dilithium will be analyzed. Based on the results of the analysis, recommendations are given regarding the compilation parameters depending on the conditions of use. Namely, it is concluded that an AES-based generator is more vulnerable to side-channel attacks, from which it follows that it is not recommended to use the DILITHIUM_USE_AES flag unless there are additional guarantees to protect the machine from side-channel attacks. If the operating system's cryptographic API is trusted, it is recommended to use the DILITHIUM_RANDOMIZED_SIGNING compilation flag. In systems with low trust in the cryptographic API of the operating system, it is possible to use a variant with deterministic signature generation.

Random Color Image Encryption Using the Genetic Algorithm

This paper implements a combined pseudo-random sequence generator based on neural networks and chaotic, random variable color images based on an algorithm for chaotic encryption, secure image storage, and transmission. The generator that controls the operation of the encryption algorithm: the arrangement of pixel positions, the use of random color images of the AES algorithm to achieve encryption, creation algorithms, and neural networks by dynamically updating control parameters and numbers to increase the generated chaotic sequence randomness by using simulation MATLAB for getting output. The chaotic function's iteration of the neural networks. The experimental results are presented in the form of a pixel correlation coefficient and security analysis to prove the security and effectiveness of the proposed chaos-based ANN encryption.

Safety And Efficacy Evaluation Of The Oxyjet Cpap Device Compared To High-flow Nasal Oxygen For Treating Hypoxemic Covid-19 Patients In General Hospital Wards: A Randomized Controlled Trial

Background: During the COVID-19 pandemic, general wards generally were capable of providing up to 15L/ min of oxygen. Shortage of Intensive Care Unit (ICU) beds, High-Flow Nasal Oxygen (HFNO), and other intermediary devices have caused many premature deaths during the pandemic. During this period, we have developed OxyJet CPAP, a locally-made 3D printed continuous positive airway pressure (CPAP) device that can provide up to 60 liters/min of oxygen without electric power. This study assessed whether the OxyJet CPAP could be a non-inferior alternative to an HFNO device in COVID-19 wards. Methods: We performed an open-label, parallel-assignment, randomized controlled trial in 45 patients admitted to the general COVID- 19/suspected wards of Dhaka Medical College Hospital (DMCH), Bangladesh, between April 17, 2021, and July 9, 2021. Eligible patients were confirmed/suspected COVID-19 aged between 18—65 with oxygen saturation (SpO2) between 85—90% while being treated with a non-rebreather mask at 15L/min of 100% oxygen. We used a computerized pseudorandom sequence generator for randomization. The sample size was calculated based on a non-inferiority margin of 1.5 days. Analysis was intention-to-treat. Results: The primary outcome of the trial was ventilator-free days (VFDs) within a 10-day period assessed after study completion. A total of 180 patients were screened, and 45 eligible patients were enrolled. We randomly assigned 23 (51.11%) patients to receive CPAP and 22 (48.89%) patients to receive HFNO. For the CPAP and HFNO arms, the mean value of the primary outcome was found to be 7.41 (STD 3.68) and 6.6 (STD 3.69) days, respectively. The mean difference in the primary outcome was 0.81 (95% CI -1.41—3.03), with the lower bound above the non-inferiority margin, thus, establishing the non-inferiority hypothesis (p = 0.021). Adverse events (AE) were recorded according to the Common Terminology Criteria for Adverse Events (CTCAE) scale (1—5). In the CPAP and HFNO arms, the mean CTCAE scale was found to be 1.39 (STD 0.499) and 1.59 (STD 0.503), respectively, showing no significant difference (p = 0.189). In Post Hoc analysis, we found that, on average, the OxyJet CPAP requires significantly less oxygen per patient compared to HFNO with a median difference of -16.11 L/min (95% CI -24.63—-6.67, p=0.001). Conclusion: The results show that the OxyJet CPAP treatment was non-inferior compared to the HFNO treatment. In the context of many hospitals in Bangladesh, especially in rural areas, using the locally made OxyJet CPAP could provide significant benefits due to its lower cost and usability. This device can be used as an effective bridging therapy reducing ICU admissions in the general ward settings or preserving life while awaiting resource availability. In addition, the device can also be used in emergencies and ambulances. The Directorate General of Drug Administration (DGDA) has provided limited approval of the device for hospital use. Currently, we are using the device in different hospitals for hypoxemic patients. Bangladesh J Medicine 2023; Vol. 34, No. 2(1) Supplement: 206-207

THE PROBLEM OF GENERATING PSEUDORANDOM SEQUENCES OF COMPOSITE DISTRIBUTIONS FOR QS SIMULATION

This article presents the results obtained on developing a pseudo-random sequence generator for simulation modeling of a QS with a hyper-Erlangian input distribution of the second order. In foreign and Russian-language scientific literature, including web resources, data on this domain were not found by the authors. It is known that this distribution law is the most general distribution of a continuous nonnegative random variable within a wide range of variation coefficients. The latter plays an important role in estimating a delay of requests in a queue in queuing systems, since an average delay of requests in a queue is related to the coefficients of variation of arrival and service intervals via the quadratic dependence. Using this higher order distribution is difficult to derive a solution for an average waiting time due to the increasing computational complexity. For the hyper-Erlangian distribution law of the second order, the authors previously obtained some numeric and analytic results based on the method of spectral solution to the Lindley's integral equation. The article presents the obtained algorithm and program on GPSS WORLD for simulating the functioning of a QS with a hyper-Erlangian input distribution. The adequacy of the obtained results was confirmed by comparing the simulation results with the results of numerical simulation in the Mathcad environment. The authors hope that the presented results will be in demand by specialists in the field of simulation modeling in the GPSS WORLD environment.

A highly secure image encryption algorithm based on conservative hyperchaotic system and dynamic biogenetic gene algorithms

Aiming at the problem that the current image encryption algorithms generally use dissipative chaos, which leads to the algorithms being vulnerable to reconstruction attack, and the coding rules of image encryption algorithms using biological coding are too simple, this paper proposes an image encryption algorithm based on conservative hyperchaotic and biological gene algorithms. Firstly, a new conservative hyperchaotic system is proposed, which can resist reconstruction attacks, has a larger key space, and can generate pseudorandom sequences with strong randomicity. Secondly, SHA-512 is used to calculate the hash value of plaintext image, and the initial key is generated through the key generation algorithm we devised to improve the sensitivity of the algorithm to the key and plaintext. Finally, new dynamic coding rules are designed to enrich the biological coding rules. In addition, dynamic gene uniform crossover algorithm and dynamic gene mutation algorithm are devised, and pseudorandom sequences dynamically control gene operation, further enriching coding rules and expanding key space, improving the security of the algorithm. According to experimental and analysis results, the image encryption algorithm has high security and efficiency.

Chaos in popular metaheuristic optimizers – a bibliographic analysis

This paper presents an overview of the history and recent efforts in combining chaos theory and evolutionary computation techniques. Various algorithms from the evolutionary computation domain, also known as metaheuristic algorithms, have been successfully enhanced with chaotic components in the past. Numerous ways to incorporate chaos have been examined, and many impressive results have been reported. Implementations of discrete chaotic maps such as Lozi, Hénon, and logistic map as generators of chaotic pseudo-random sequences for controlling evolution operators in metaheuristics have achieved significant popularity. In this survey, we focus on the research field itself and perform a bibliographical analysis to show how broad and active is nowadays the research field of chaos-enhanced metaheuristics and what are some of the most recent works published.

Implementation and performance evaluation of multi level pseudo random sequence generator

In this paper, introduce a proposed multi-level pseudo-random sequence generator (MLPN). Characterized by its flexibility in changing generated pseudo noise (PN) sequence according to a key between transmitter and receiver. Also, introduce derive of the mathematical model for the MLPN generator. This method is called multi-level because it uses more than PN sequence arranged as levels to generation the pseudo-random sequence. This work introduces a graphical method describe the data processing through MLPN generation. This MLPN sequence can be changed according to changing the key between transmitter and receiver. The MLPN provides different pseudo-random sequence lengths. This work provides the ability to implement MLPN practically in more than one method such as microcontroller or field programmable gate array (FPGA). In this paper discusses MLPN performance using MATLAB as compared with golden PN sequence generator with different modulation schemes such as binary phase-shift keying (BPSK), quadrature phase-shift keying (QPSK), and quadrature amplitude modulation 16QAM. The simulation results show that MLPN performs almost likely golden PN sequence but sure with advantage its flexibility to change generated MLPN between transmitter and receiver. The MLPN sequence is applicable in the same field of PN sequence applications such as code division multiple access (CDMA), spread spectrum system (SSS), and data scrambling.

HDIEA: high dimensional color image encryption architecture using five-dimensional Gauss-logistic and Lorenz system

The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm. The primary objective is to demonstrate that both the proposed novel five-dimensional (5D) Gauss-Logistic and four-dimensional (4D) Lorenz system are operating in a hyper-chaotic condition. The visual study of their most important characteristics, such as the sensitivity of the starting value of both maps and the Lyapunov exponent of the 5D Gauss Logistic map, is carried out. The Runge–Kutta technique is used to discretise the Lorenz system in order to construct a pseudo-random sequence generation for the control parameter that has a greater degree of randomness. The 5D Gauss-Logistic system is then selected to serve as the principal hyper-chaotic mapping scheme. The simulation results demonstrate that the suggested image encryption method is successful according to the NIST test and has powerful anti-attack, a larger key space as large as 2847, which is prone to multiple attacks, and key sensitivity capabilities. Also, the pixel correlation reached −0.0019, −0.0016, and −0.0069, while the information entropy was at 7.9996. This demonstrates the excellent scrambling effect of the proposed approach, which is capable of greatly improving the color image security performance.

A Novel Hybrid Mechanism for Generation of Pseudo-random Sequences for Data Protection Purposes

In this paper, a mechanism for the generation of pseudo-random numbers with a very high level of randomness is proposed. The design of this mechanism is based on geometric structures simulated by software, specifically rotating cylinders that are activated, also, with random inputs produced by means of events of the electronic system on which it operates. Due to the random quality, its outputs can be used to implement robust systems for data protection.

Fully fixed-point integrated digital circuit design of discrete memristive systems

In this paper, the fully fixed-point digital integrated circuits of discrete memristive systems are designed with very low circuit area cost, where the two-stage pipeline and multi-cycle architecture is employed. Firstly, the mathematical models of the discrete memristor and a memristor chaotic map are presented and dynamics are analyzed. Secondly, data flow design is carried out and the feasibility of the fixed-point model is discussed, which provides a foundation for the further circuit design. Thirdly, different architectures are designed and we get the optimal results. As a result, gate area of the discrete memristor is 40288 μm2 and the equivalent gate counts are 4588, while gate area of the discrete memristor map is 40424 μm2 and the equivalent gate counts are 4604. Moreover, a chaotic pseudo random sequence generator is designed and the NIST test is passed. It provides the foundation for the further applications of the discrete memristor and discrete memristor chaotic systems.

On the number of ℓ-suitable Boolean functions in constructions of filter and combining models of stream ciphers

It is well known that every stream cipher is based on a good pseudorandom generator. For cryptographic purposes, we are interested in generating pseudorandom sequences with the maximum possible period. A feedback register is one of the most known cryptographic primitives that is used to construct stream ciphers. We consider periodic properties of pseudorandom sequences produced by filter and combiner generators (two known schemes of stream generators based on feedback registers). We analyze functions in these schemes that lead to output sequences of period at least a given number l. We call such functions l-suitable and count the exact number of them for an arbitrary n. Download file

ДВОКВАДРАНТНЕ АНАЛОГО-ЦИФРОВЕ ПЕРЕТВОРЕННЯ МОНТЕ-КАРЛО

In the current conditions of technological development and under last year's circumstances, the use of mobile means of remote control and information transformation is justified by ease of use, reliability, safety of pilot operators and economic efficiency. An urgent task is the development and implementation of effective methods and means of analog-digital conversion. In control systems, a number of sources of information have the character of integral accumulation of instantaneous parameter values. It is substantiated that the method of Monte Carlo statistical research is effective for the transformation of such information. The application of this method was limited by the need to implement generators of pseudo-random code sequences with a uniform distribution. The development of the Monte Carlo analog-to-digital conversion method proposed in the article was based on the application of code orderings generated by reflectively mapped Rademacher functions. The conducted studies showed one of the best uniformity distribution indicators of the scanning signal of the analog-to-digital Monte Carlo converters. Based on the proposed method of generating pseudo-random code sequences with uniform distribution, digital generators-formers of reference signals as part of Monte Carlo analog-to-digital converters were developed for the first time. The circuit of the Monte Carlo analog-to-digital converter, which carries out two-quadrant analog-to-digital conversion separately of the "+" and "–" components of the converted signal, as well as its integral value, was developed and investigated. A Monte Carlo analog-to-digital conversion scheme has been developed. Oscillograms and time diagrams of the formation of numerical pulses as a result of the conversion are given. The proposed Monte Carlo analog-to-digital conversion method and device have the prospect of application in resource consumption accounting systems, in particular, accounting for electric energy, fuel, gas, water, and other media.

Имитационное моделирование систем массового обслуживания на основе составных распределений – вероятностных смесей

This article presents the results obtained on the development of software pseudo-random sequence generators for QS simulation in the GPSS WORLD discrete-event simulation system with hyper-Erlang (HE2) and hyper-exponential (H2) input distributions. Data in this subject area, neither in foreign nor in domestic scientific literature, were found by the authors. There are no such generators in the GPSS WORLD library either. It is known that the distributions of HE2 and H2 are the most general and provide a large range of the coefficient of variation. The latter play an important role in estimating the delay of requests in the queue in queuing systems, since the average queue delay is directly proportional to their squares. For the distributions of HE2 and H2, the authors previously obtained numerical-analytical results based on the method of spectral solution of the Lindley integral equation. The article presents the obtained algorithms and programs on GPSS WORLD to simulate the functioning of the QS with the specified input distributions. The adequacy of the obtained results was confirmed by comparing the simulation results with the results of numerical simulation in the Mathcad environment. The authors hope that the presented results will be in demand by specialists in the field of simulation modeling in the GPSS WORLD environment.

Remote Sensing Image Encryption Using Optimal Key Generation-Based Chaotic Encryption

The Internet of Things (IoT) offers a new era of connectivity, which goes beyond laptops and smart connected devices for connected vehicles, smart homes, smart cities, and connected healthcare. The massive quantity of data gathered from numerous IoT devices poses security and privacy concerns for users. With the increasing use of multimedia in communications, the content security of remote-sensing images attracted much attention in academia and industry. Image encryption is important for securing remote sensing images in the IoT environment. Recently, researchers have introduced plenty of algorithms for encrypting images. This study introduces an Improved Sine Cosine Algorithm with Chaotic Encryption based Remote Sensing Image Encryption (ISCACE-RSI) technique in IoT Environment. The proposed model follows a three-stage process, namely pre-processing, encryption, and optimal key generation. The remote sensing images were preprocessed at the initial stage to enhance the image quality. Next, the ISCACE-RSI technique exploits the double-layer remote sensing image encryption (DLRSIE) algorithm for encrypting the images. The DLRSIE methodology incorporates the design of Chaotic Maps and deoxyribonucleic acid (DNA) Strand Displacement (DNASD) approach. The chaotic map is employed for generating pseudorandom sequences and implementing routine scrambling and diffusion processes on the plaintext images. Then, the study presents three DNASD-related encryption rules based on the variety of DNASD, and those rules are applied for encrypting the images at the DNA sequence level. For an optimal key generation of the DLRSIE technique, the ISCA is applied with an objective function of the maximization of peak signal to noise ratio (PSNR). To examine the performance of the ISCACE-RSI model, a detailed set of simulations were conducted. The comparative study reported the better performance of the ISCACE-RSI model over other existing approaches.

ФОРМИРОВАНИЕ ОДНОПОЛОСНОЙ КВАДРАТУРНОЙ ФАЗОВОЙ МАНИПУЛЯЦИИ РАДИОСИГНАЛОВ НА ПОДНЕСУЩИХ ЧАСТОТАХ В КОГЕРЕНТНОЙ ОПТИЧЕСКОЙ СИСТЕМЕ КОММУНИКАЦИИ

The coherent optical communication technology allows to create a transmission system overlong distances with high bandwidth. Higher order modulation formats such as Quadrature PhaseShift Keying (QPSK) provide high data rates in a simple, reliable and cost-effective manner. Thesemulti-bit modulation methods are transmitted as a symbol implementing simple in-phase andquadrature (IQ) modulation formats. To increase throughput in coherent optical systems, opticalsubcarrier multiplexing is used, when several radio signals are multiplexed on one optical carrier.This multiplexing is limited by double sideband, resulting in reduced received subcarrier powerand degraded carrier-to-noise ratio. To accumulate these effects, many ways of implementingoptical single sideband (OSSB) are proposed. The paper proposes an analysis of a coherent opticaltransmission system for generating single-sideband QPSK modulation using an optical I/Qmodulator and M-ary RF pulse shaping. The pseudo-random bit sequence generator generates a10 Gb/s modulation baseband signal. Each bit sequence is converted into an M-ary sequence ofsymbols from binary signals using phase shift keying (PSK). The M-ary pulse generator generatesa multi-level pulse shaping according to the sequence of M-ary input symbols. Electrical pulsesare applied to the electrodes of the electro-optical modulator according to the Mach–Zehnderinterferometer (MZM) scheme. The I/Q modulator operated at the quadrature operating point inboth the in-phase and quadrature branches, with an extinction ratio 60 dB and 3 V switching voltage.The light wave is emitted by a CW laser with a wavelength of 1550 nm.

МЕТОД ОБЕСПЕЧЕНИЯ ЗАЩИТЫ ПЕРЕДАВАЕМЫХ СООБЩЕНИЙ В СИСТЕМЕ ADS-B С ИСПОЛЬЗОВАНИЕМ АППАРАТА КЛЕТОЧНЫХ АВТОМАТОВ

The purpose of the study is to develop a method for encoding of transmitted ADS-B messagesbetween aircraft. The open format 1090ES of transmitted data is critical in terms of carryingout various types of attacks that can lead to a violation of the safety of aircraft operations.The work is aimed at using means of encoding and decoding messages with a private key. Researchmethods are based on the application and development of streaming data encryption usingone-dimensional cellular automata. They operate as a generator of pseudo-random sequences thattransform the elementary states of a cell of a one-dimensional cellular automaton based on typicalhardware-oriented operations. The processes of encoding and decoding data fields are based onan analytical expression using typical logical operations (or, xor). This property allows parallelprocessing of message data fields. The result is the created method for ensuring the protection oftransmitted data, additionally encoding on transmission and decoding on message reception.A distinctive feature of the method is the preservation of the protocol forma. The method uses aone-dimensional cellular automaton that encodes and decodes the target fields (coordinates, heading,etc.) using a pseudo-random number generator. The developed method belongs to the class ofhardware-oriented methods. Critical for encoding and decoding properties of periodicity of datafields and key length are eliminated by choosing an initial irrational value and organizing the“streaming” work of the encoder. If the encoding automaton is running in streaming mode, thecurrent value depends on the history of some depth, determining the length of the "automatic key"from the ADS-B message will be algorithmically impossible due to data loss. The linear complexityof the method allows you to perform transformations at the data rate. Conclusion: the developmentof hardware-oriented methods of data encoding makes it possible to increase the efficiency ofusing the ADS-B system by counteracting various types of destructive actions.