Techniques for Performance Improvement of Integer Multiplication in Cryptographic Applications

The problem of arithmetic operations performance in number fields is actively researched by many scientists, as evidenced by significant publications in this field. In this work, we offer some techniques to increase performance of software implementation of finite field multiplication algorithm, for both 32-bit and 64-bit platforms. The developed technique, called “delayed carry mechanism,” allows to preventing necessity to consider a significant bit carry at each iteration of the sum accumulation loop. This mechanism enables reducing the total number of additions and applies the modern parallelization technologies effectively

Influence Determination of Social Responsibility to the Productivity Enterprise Activity Level

The purpose of this paper is to develop a scientific and methodical approach for determination of the comprehensive social responsibility indicator in this paper based on estimation of influence degree for the economical, ecological, social and labour, standard and legal components. There is allowance for determining of some level of enterprise social responsibility. In addition, there is a basis for development some ways of their increasing. The essence of the used approach is clotting of the individual indicators set to four intermediate indicators of the economic, ecological, social and labor, standard and legal components, which can be boiled down to the generalizing activity productivity indicator based on the matrix and range approach. An economical and mathematical model of the social responsibility influence level to the enterprise activity productivity level, which is based on enterprise propose harmonization with the participants’ interests, was being built. The paper proposes the mathematical model, which allows detecting a necessary time period for enterprise activity productivity ensuring due to social responsibility implementation

Simulation of Territorial Development Based on Fiscal Policy Tools

Modern approaches to the development of a national economy are often characterized with an imbalanced inflation of some economic branches leading to a disproportional socioeconomic territories development (SETD). Such disproportions, together with other similar factors, frequently result in a lack of economic integrity, various regional crises, and a low rate of the economic and territorial growth. Those disproportions may also conduce to an inadequate degree of the interregional collaboration. This paper proposes the ways of regulating imbalances in the territorial development based upon the fiscal policy tools. The latter can immediately reduce the amplitude of economic cycle fluctuations and provide for a stable development of the economic state system. The same approach is applied to control the processes of transformation of the tax legislation and tax relations, as well as the levying and redistribution of the recollected taxes among the territories’ budgets (this approach is also known as a tax policy). To resume, this paper describes comprehensive models of financial regulation of the socioeconomic territorial development that can help in estimating and choosing the right financial policy parameters. These provide the stable rates of the growth of national economies along with a simultaneous decrease in interregional socioeconomic disproportions

A. Kuznetsov, I. Moskovchenko, I. Bilozertsev, S. Kavun, T. Kuznetsova. Heuristic Methods for the Design of Cryptographic Boolean Functions. In.: ISCI’2018: Information Security in Critical Infrastructures. Collective monograph. Edited by Ivan D. Gorbenko and Alexandr A. Kuznetsov, ASC Academic Publishing, USA, 2018, pp. 45-74. – ISBN: 978-0-9989826-5-6 (Paperback).

In this article, heuristic methods of hill climbing for cryptographic Boolean functions satisfying the required properties of balance, nonlinearity, autocorrelation, and other stability indicators are considered. A technique for estimating the computational efficiency of gradient search methods is proposed, based on the construction of selective (empirical) distribution functions characterizing the probability of the formation of Boolean functions with indices of stability not lower than required. As an indicator of computational efficiency, an average number of attempts is proposed to be performed using a heuristic method to form a cryptographic Boolean function with the required properties. Comparative assessments of the effectiveness of the heuristic methods are considered. The results of investigations of the cryptographic properties of the formed Boolean functions in comparison with the best known assessments are given

A. Kuznetsov, I. Kolovanova, S. Kavun, Y. Kotukh, T. Kuznetsova. Noise Immunity of the Algebraic Geometric Codes. In.: ISCI’2018: Information Security in Critical Infrastructures. Collective monograph. Edited by Ivan D. Gorbenko and Alexandr A. Kuznetsov, ASC Academic Publishing, USA, 2018, pp. 160-194. – ISBN: 978-0-9989826-5-6 (Paperback).

Linear block noise-proof codes constructed according to algebraic curves (algebraic geometric codes) are considered, their design properties are evaluated, algorithms of construction and decoding are studied. The energy efficiency of the transmission of discrete messages by M-ary orthogonal signals in the application of algebraic geometric codes is studied; the achievable energy gain from the use of noise-immune coding is estimated. The article shows that in discrete channels without memory it is possible to obtain a significant energy gain, which increases with the transition to long algebraic geometric codes constructed from curves with a large number of points relative to the genus of the curve. It has been established that the computational complexity of implementing algebraic geometric codes is comparable to other known noise-resistant codes, for example, Reed-Solomon codes and others. Thus, high energy efficiency in combination with acceptable computational complexity of implementation confirm the prospects of algebraic geometric codes using in modern telecommunication systems and networks to improve the noise immunity of data transmission channels