Calculation of General Parameters for Ntru Prime Ukraine of 6-7 Levels of Stability

Gorbenko, I.D.; Alekseychuk, A. N.; Kachko, O. G.; Yesina, M.V.; Стельник, І.В.; Kandy, S.O.; Bobukh, V. A.; Ponomar, Volodymyr

doi:10.1615/telecomradeng.v78.i4.40

Cited by 7 publications

(16 citation statements)

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“…Незважаючи на це, на національному рівні було обґрунтовано [6] та поставлено задачу розробити алгоритм асиметричного перетворення типу АСШ/ПІК та набори параметрів, що забезпечували б 7-й рівень стійкості, тобто 256 бітів квантової та 512 бітів класичної безпеки. У [7] було обґрунтовано основні алгоритми генерації загальносистемних параметрів, шифрування та розшифрування для перспективного алгоритму АСШ/ПІК NTRU Prime IIT Ukraine.…”

Section: стан досліджень механізмів типу асш/пік в україніunclassified

State of development, research and standardization of cryptographic transformations such as asymmetric encryption and post-quantum key encapsulation protocol

Kulibaba

Bobukh

2021

Fìz.-mat. model. ìnf. tehnol.

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The paper presents the state of development of cryptocurrencies such as ACS and PIC at the international and national levels. The state of standardization of cryptocurrencies of ASS and PIK at the international competition NIST of the USA, the requirements put forward to candidates on 2 and 3 rounds of competition are considered. The state of standardization of crypto transformations of this type at the national level in Ukraine is considered, and a brief description of the national standard ASSH DSTU 8961: 2019, based on algebraic lattices, is given. The methodology and results of achieving the national standard DSTU 8961:2019 against attacks by third-party channels in terms of the dependence of the time of direct and reverse transformation (encapsulation and decapsulation of the key) on the number of units in the private key.

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Section: стан досліджень механізмів типу асш/пік в україніunclassified

State of development, research and standardization of cryptographic transformations such as asymmetric encryption and post-quantum key encapsulation protocol

Kulibaba

Bobukh

2021

Fìz.-mat. model. ìnf. tehnol.

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“…256 bits of quantum and 512 bits of classical security. In [7], the main algorithms for generating system-wide parameters, encryption and decryption for the advanced NTRU Prime IIT Ukraine KEM algorithm was substantiated.…”

Section: The State Of Development and Standardization Of Key Encapsulation Protocols At The International Level And In Ukrainementioning

confidence: 99%

“…Further issues of constructing system-wide parameters for the 7th level of stability, proving the correctness of the algorithm, as well as cryptographic stability are considered in detail in [7][8][9]. Subsequently, based on studies conducted in [6][7][8][9][10], the national standard DSTU 8961:2019 [11] was adopted.…”

Section: The State Of Development and Standardization Of Key Encapsulation Protocols At The International Level And In Ukrainementioning

confidence: 99%

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Processes and methods for selecting system-wide parameters and analysis of resistance against third-party channel attacks for the key encapsulation mechanism DSTU 8961:2019

Kulibaba¹

2021

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In recent years, there has been significant progress in the creation of quantum computers. If scalable quantum computers are implemented in the near future, this will jeopardize the security of the most widely used public key cryptosystems. The most vulnerable are public-key schemes based on factorization, discrete logarithms and elliptic curve cryptography. Currently, the main task is to develop, evaluate, study and standardize asymmetric crypto transformations at the international level, including mechanisms of key encapsulation and directional encryption, resistant to attacks by violators of the post-quantum period. An important feature of the transition and post-quantum period is the usage of new mathematical methods to opposite quantum crypto analysis. The paper considers the main attacks on the mechanisms of key encapsulation and directional encryption, as well as system-wide parameters of the DSTU 8961: 2019 standard, which affect the resistance to attacks and the complexity of transformations. Methods for generating system-wide parameters of 5 and 7 levels of stability – 512 bits of classical and 256 bits of quantum security, as well as the protection of the algorithm from attacks by third-party channels are considered. The dependence of encryption and decryption time on the level of stability is analyzed. The results of calculations of system-wide parameters for stability levels 256/128, 384/192 and 512/256 are presented, as well as recommendations for the selection of system-wide parameters depending on the environment and computing capabilities. Sets of parameters selected and recommended for use in the DSTU 8961: 2019 standard are given. Conclusions are drawn about the possibility of applying the DSTU 8961 standard in the post-quantum period.

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“…Результати тестування функції множення для product-форми після оптимізації для набору параметрів з [2] наведені у табл. 3 (тактів).…”

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Optimization of the Multiply Function of Polynomials for General and Product Forms of the Representation of one Polynomial

Kachko¹,

Kandyi²,

Ostrianska³

2019

MCM-MATH

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The obtained results for the listed oscillatjry functions allowed us to create a theory of optimal integration of highly oscillatory functions both in classical formulation and for interpolation classes of functions. Considerable attention is paid to the identification and refinement of a priori information about the integral function and its use for narrowing the usual (classical) classes of integral functions to interpolation classes [1]. The functions included in such (interpolation) classes do not differ in quadrature formulas (the approximate integral value will be the same for them all). The second feature of the results is (in contrast to the results of all other authors) in the assumption of an approximate input of information about the integral function. Examining interpolation classes can increase the potential of quadrature formulas. Computer technologies (CTs) of the integration of highly oscillatory functions with given accuracy are analyzed.

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Calculation of General Parameters for Ntru Prime Ukraine of 6-7 Levels of Stability

Cited by 7 publications

References 0 publications

State of development, research and standardization of cryptographic transformations such as asymmetric encryption and post-quantum key encapsulation protocol

State of development, research and standardization of cryptographic transformations such as asymmetric encryption and post-quantum key encapsulation protocol

Processes and methods for selecting system-wide parameters and analysis of resistance against third-party channel attacks for the key encapsulation mechanism DSTU 8961:2019

Optimization of the Multiply Function of Polynomials for General and Product Forms of the Representation of one Polynomial

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