Random numbers have many uses, but finding true randomness is incredibly difficult. Therefore, quantum mechanics is used, using the essentially unpredictable behavior of a photon, to generate truly random numbers that form the basis of many modern cryptographic protocols. It is essential to trust cryptographic random number generators to generate only true random numbers. This is why certification methods are needed which will check both the performance of our device and the quality of the random bits generated. Self-testing as well as device independent quantum random number generation methods are analyzed in the paper. The advantages and disadvantages of both methods are identified. The model of a novel semi self-testing certification method for quantum random number generators is offered in the paper. This method combines different types of certification approaches and is rather secure and efficient. The method is very important for computer science, because it combines the best features from selftesting and device independent methods. It can be used, when the random numbers’ entropy depends on the device and when it does not. In the related researches, these approaches are offered to be used separately, depending on the random number generator. The offered novel certification technology can be properly used, when the device is compromised or spoiled. The technology can successfully detect unintended irregularities, operational problems, abnormalities and problems in the randomization process. The offered mythology assists to eliminate problems related to physical devices. The offered system has the higher certification randomness security and is faster than self-testing approaches. The method is rather efficient because it implements the different certification approaches in the parallel threads. The offered techniques make the offered research must more efficient than the other existing approaches. The corresponding programming simulation is implemented by means of the simulation techniques.

Random numbers play an important role in many areas, for example, encryption, cryptography, static analysis, simulations. It is also a fundamental resource in science and engineering. There are algorithmically generated numbers that are similar to random distributions, but are not actually random, called pseudo random number generators. In many cases the tasks to be solved are based on the unpredictability of random numbers, which cannot be guaranteed in the case of pseudo random number generators, true randomness is required. In such situations, we use real random number generators whose source of randomness is unpredictable random events. Quantum Random Number Generators (QRNGs) generate real random numbers based on the inherent randomness of quantum measurements. Our goal is to generate fast random numbers at a lower cost. At the same time, a high level of randomness is essential.Through quantum mechanics, we can obtain true numbers using the unpredictable behavior of a photon, which is the basis of many modern cryptographic protocols. It is essential to trust cryptographic random number generators to generate only true random numbers. This is why certification methods are needed which will check both the operation of the device and the quality of the random bits generated.We present the improved novel quantum random number generator, which is based the on time of arrival QRNG. It uses the simple version of the detectors with few requirements. The novel QRNG produces more than one random bit per each photon detection. It is rather efficient and has a high level of randomness.Self-testing as well as device independent quantum random number generation methods are analyzed. The advantages and disadvantages of both methods are identified. The model of a novel semi self-testing certification method for quantum random number generators (QRNG) is offered in the paper. This method combines different types of certification approaches and is rather secure and efficient. Finally, the novel certification method is integrated into the model of the new quantum random number generator. The paper analyzes its security and efficiency.

Global international project of the 70-80-s of the XVIII century envisaging a new distribution of Europe based on the areas of the Ottoman Empire is reviewed in the article. This topic acquires a final feature in a conceptual form in the correspondence between Catherine II and the Emperor of Austria and the Holy Roman Empire Josephus II under the name of "Greek Project". The article is a scientific fragment of a monograph, reviewing the Greek Project in regard of the Caucasus for the first time in historiography. Initially, Soviet historiography strictly separated itself from the Greek Project, since the objective research of the latter would ensure presenting the Russian Empire as an aggressive state. Afterwards, the research of this project was converted into a narrow political framework and presented as a plan to conquer Crimea. The Greek Project can be unequivocally considered as a key to the history of Georgia of 50-80-ies of the XVIII century. A number of studies have shown that numerous problematic questions remain unanswered until the present day without considering the Greek Project. Patience and tolerance shown by the King of Kartli - Kakheti Erekle II towards the Russian intrigues cannot be explained without the Greek Project. Georgia acquires qualitatively different and desired form of all time through the implementation of the Greek Project. The Greek Project is an attempt to create a Christian global political model, a political background that can serve as a precondition for the restoration of a real united Caucasian Home, ensuring a guarantee of irreversible development and security for all royal principalities and khanate in the Caucasus. This is the reason, the state oriented thinker Erekle II, avoids responding with aggression to the permanent intrigues of Russia. Erekle II tries to get involved in this great political game as a sovereign of a full-fledged political entity. Such attitude of Erekle is a guarantee of success for the Imperial Court of St. Petersburg. However, Russia chooses a completely different way - confronting Erekle's benevolent alliance with hostile, imperial sentiments. The main message of these sentiments is that a united Caucasus, independent Georgian kingdoms for Russia is considered to be an anti-Russian phenomenon. This consistent and hostile attitude towards the Caucasus became the reason for the failure of Russian policy - it could neither establish a model of Christian globalization nor neutralize the Ottomans. Therefore, the study and understanding of the referred problem is rather important to determine the directions and priorities of modern political processes.