Аналіз CPA-to-CCA перетворення ДСТУ 8961:2019 у моделі випадкового оракула

A modular approach is usually used to build modern key encapsulation mechanisms. Some asymmetric scheme is taken as a basis, and with the help of a certain CPA-to-CCA transformation, a key encapsulation mechanism is built on its basis. Many modern key encapsulation mechanisms use provably secure tra...

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Bibliographic Details
Date:2023
Author Affiliations:
  • Serhii Kandii — співробітник АТ «Інститут Інформаційних технологій» вул. Коломенська, 15, 61166, Харків
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Main Author: Kandii, Serhii
Format: Article
Language:Ukrainian
Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2023
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Online Access:https://www.fmmit.lviv.ua/index.php/fmmit/article/view/285
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Journal Title:Physico-mathematical modeling and informational technologies
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Physico-mathematical modeling and informational technologies
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Summary:A modular approach is usually used to build modern key encapsulation mechanisms. Some asymmetric scheme is taken as a basis, and with the help of a certain CPA-to-CCA transformation, a key encapsulation mechanism is built on its basis. Many modern key encapsulation mechanisms use provably secure transformations, but for DSTU 8961:2019 there is currently a significant lack of such an analysis. The analysis of such transformations usually takes place not in the standard model, but in the random oracle model, since it is quite difficult to take into account the influence of hash functions. The paper presents the first results of the analysis in the model of the random oracle CPA-to-CCA conversion, which is used in the DSTU 8961:2019 standard to build the key encapsulation mechanism. It is shown that the construction is safe provided that a number of model assumptions are fulfilled.