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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Datum:2023
1. Verfasser: Kandii, Serhii
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2023
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Online Zugang:https://www.fmmit.lviv.ua/index.php/fmmit/article/view/285
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Назва журналу:Physico-mathematical modeling and informational technologies
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Physico-mathematical modeling and informational technologies
Beschreibung
Zusammenfassung: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.