Rapid development and advances of quantum computers are contributing to the development of public key cryptosystems based on mathematically complex or difficult problems, as the threat of using quantum algorithms to hack modern traditional cryptosystems is becoming much more real every day. It should be noted that the classical mathematically complex problems of factorization of integers and discrete logarithms are no longer considered complex for quantum calculations. Dozens of cryptosystems were considered and proposed on various complex problems of group theory in the 2000s. One of such complex problems is the problem of the word. One of the first implementations of the cryptosystem based on the word problem was proposed by Magliveras using logarithmic signatures for finite permutation groups and further proposed by Lempken et al. for asymmetric cryptography with random covers. The innovation of this idea is to extend the difficult problem of the word to a large number of groups. The article summarizes the known results of cryptanalysis of the basic structures of the cryptosystem and defines recommendations for ways to improve the cryptographic properties of structures and the use of non-commutative groups as basic structures.

The article is devoted to understanding the problem of human self-determination in the modern social and cultural space, in which the question of personal identity becomes a search for one's own individualization, a question of survival and preservation of man as such. The relevance of the study is determined by the process of dehumanization of modern society, a crisis of spirituality leading to the prevalence of destructive origins, to depersonalization and the destruction of the individual personal dimension of human existence. The leading approach to the study of this problem is the method of the ascent from the abstract to the concrete, which makes it possible to comprehend the being of man and the phenomena of his existence associated with it. In this study, we used the dialectical method and the hermeneutical analysis of texts by modern scholars who consider the problems of the philosophical foundations of personal identity in the modern social and cultural world. The connection between the constitution of the essential definitiveness of the human personality and the existential source of the human origin itself is shown. The influence of the social transformation processes on the methods and possibilities of self-identification of man, on his self-identity is revealed. The conducted analysis shows that the key problem of modern society is man himself as a subject of a technotronic-oriented civilization, in which his personal identity is not only a key factor in his existence, but also a fundamental link in the reconstruction of the wholeness of being.

Материалы журнала доступны на сайте (articles and issues available at): manuscript-journal.ru RUЖизнь без возраста: восприятие себя вне времени в философии патристики Дьяченко О. Н.Аннотация. Цель исследования -раскрыть особенности понимания времени и возраста в период патристики и в современных социокультурных условиях. Научную новизну работы составляет полученное в ходе исследования положение о том, что возраст как отражение времени в средневековом понимании имеет в первую очередь не числовое, но смысловое наполнение, которое и формирует отношение человека к самому себе, поскольку актуализирует цель его земного существования. Результаты исследования показали, что возраст и время, негативные факторы с точки зрения современного человека, в философии Средних веков -понятия антонимичные и парадоксальные, но при этом возраст не имеет столь всеобъемлющего значения для восприятия человеком самого себя, а также многих значимых явлений бытия в силу того, что средневековый человек в некотором смысле свободен от диктата возраста, который характерен для нашего современника.

The article analyzes the understanding of being in the metaphysical experience of man. It is shown that having in us being-understanding is a fundamental experience in comprehension of the possibility of human essence, for it turns us to the origins of the rootedness of man in his own foundational content. It is argued that the understanding of being and the question of the essence of time constitute together the questioning about man, about the basis of his essence. In this respect the specificity of comprehension of man as a being present in the world is revealed. The position of human existence in the contemporary world is revealed, where the humanitas of man, that is being fulfilled, deprives him of any essence. The being of all things existent is understood as nothingness that man has to fill up with his knowledge, and the unity of human essence with the being of all things existent is rejected. This actualizes and makes urgent the targeted problem.

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