Development of mceliece modified asymmetric crypto-code system on elliptic truncated codes

Yevseiev, Serhii; Rzayev, Khazail; Korol, Olha; Imanova, Zarіfa

doi:10.15587/1729-4061.2016.75250

Cited by 11 publications

(17 citation statements)

References 2 publications

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“…On the receiving side, by examining the properties of the verification part and matching it against the transmitted data, the decoder reduces the impact of errors that occur during transmission [17][18][19][20][21][24][25][26][27][28].…”

Section: Basic Principles For Building the Crypto-code Constructionsmentioning

confidence: 99%

“…Definition 3 [17]. Let X be a smooth projective algebraic curve in P n , that is, a totality of the solutions to a homogeneous unreduced algebraic equation of degree degX with coefficients from GF(q), F are the homogeneous monomials of degree degF.…”

Section: Crypto-code Systemsmentioning

confidence: 99%

“…Assertion 2 [17]. Elliptical (n, k, d) code over GF(q), constructed through representation of the form j: ECP r-1 is bound by characteristics k+d³n; in this case:…”

Section: Crypto-code Systemsmentioning

confidence: 99%

“…Nevertheless, an analysis conducted in [17,21] of the software implementation of an asymmetric crypto-code system on the theoretical-code scheme (TCS) by McEliece and Niederreiter revealed considerable complexities in the software implementation, which significantly complicates the application of ACCS in the GIN open systems protocols. Dependence of group operations of the ACCS implementation on field power is given in Table 2.…”

Section: Crypto-code Systemsmentioning

confidence: 99%

“…In paper [17], authors examined basic principles and a formal notation of the mathematical model for a modified asymmetric crypto-code system based on the McEliece theoretical-code scheme (TCS) on the modified (cropped) elliptic codes that make it possible to provide integrated reliability indicators required for information secrecy and efficiency when transmitting data in communication systems.…”

Section: Introductionmentioning

confidence: 99%

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Construction of hybrid security systems based on the crypto-code structures and flawed codes

Yevseiev

Korol

Kots

2017

EEJET

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4propose a completely new approach to the formation of hybrid (integrated) cryptosystems, allowing us to build multichannel cryptosystems based on crypto-code structures with flawed codes (CCSFC) that ensure the required indicators of safety, reliability, and efficiency. The key feature of constructing the proposed structures is the use of crypto-code systems (CCS), which provide integrated security (they make it possible to build asymmetric cryptosystems of provable stability), and reliability (they employ noise-resistant codes on elliptic curves). Performance efficiency (rate of transformations in CCS is comparable to the crypto-transformations of block symmetric ciphers) of the transmitted information, and the use of flawed codes make it possible to to reduce the power of the CCS alphabet, without compromising crypto stability that expands the scope of their use in many applied applications. Literature review and problem statementDevelopment of computing equipment and communication technologies make it possible to create elements of IES based on the services provided by the global Internet technologies, further development of remote access technologies, and the informatization of educational processes and services. This has led to the fact that more and more components and technologies of CES, its software applications and 4  Simon Kuznets Kharkiv National University of Economics, 2017 IntroductionThe evolutionary development of the global Internet computer network based on open protocols and interconnection models of open systems, rapid development of informational, communication, computer, collaborative technologies have led to the creation of new patterns in the functioning of educational organizations in the world, transition to control systems with a critical cybernetic infrastructure (SCCI) [1][2][3][4][5][6][7][8]. Further informatization of corporate educational systems (CES), development of remote access to information assets based on the intensive development of information and computing networks (ICS) of educational institutions creates on their basis the informational educational systems (IES). The negative aspect, however, is the reduction in the level of literacy of users, significant growth of cybercrimes in recent months, using social networks in IES, modernization of the old, and the emergence of new, cyberattacks leads to the aggravation of problems that are related to data protection and security of information assets of SCCI [9,10]. In this regard, one of the most relevant tasks facing developers and users of IES is the full -scale solution to the problem of information security -from envisaging the strategy, policy and standards of information security in IES all the way to developing specific technologies, as well as procedures to ensure information security [1]. For this purpose, authors of the present work INFORMATION AND CONTROLLING SYSTEMS CONSTRUCTION OF HYBRID SECURITY SYSTEMS BASED ON THE CRYPTO-CODE STRUCTURES AND FLAWED CODES S . Y e v s e i e vPhD, Associate Professor* E-mail:...

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Section: Basic Principles For Building the Crypto-code Constructionsmentioning

confidence: 99%

Section: Crypto-code Systemsmentioning

confidence: 99%

“…Assertion 2 [17]. Elliptical (n, k, d) code over GF(q), constructed through representation of the form j: ECP r-1 is bound by characteristics k+d³n; in this case:…”

Section: Crypto-code Systemsmentioning

confidence: 99%

Section: Crypto-code Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations