One approach to accelerate the exponentiationon galois fields for data protection cryptographicsystems

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dc.contributor.authorMarkovskyi, O.
dc.contributor.authorRusanova, O.
dc.contributor.authorAl-Mrayat, G. A. J.
dc.contributor.authorKot, O.
dc.date.accessioned2025-04-16T07:37:26Z
dc.date.available2025-04-16T07:37:26Z
dc.date.issued2021
dc.description.abstractThe new approach to accelerate the computational implementation of the basic for a wide range of cryptographic data protection mechanisms operation of exponentiation on Galois Fields have been proposed. The approach is based on the use of a specific property of a polynomial square and the Montgomery reduction. A new method of squaring reduces the amount of computation by 25% compared to the known ones. Based on the developed method, the exponentiation on Galois Fields procedure has been modified, which allows to reduce the amount of calculations by 20%.
dc.format.pagerangeP. 12-18
dc.identifier.citationOne approach to accelerate the exponentiationon galois fields for data protection cryptographicsystems / Markovskyi O., Rusanova O., Al-Mrayat G. A. J., Kot O. // Information, Computing and Intelligent systems. – 2021. – No. 2. – Pp. 12–18. – Bibliogr.: 16 ref.
dc.identifier.doihttps://doi.org/10.20535/2708-4930.2.2021.244178
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/73385
dc.language.isoen
dc.publisherNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
dc.publisher.placeKyiv
dc.relation.ispartofInformation, Computing and Intelligent systems, No. 2
dc.subjectmultiplication operation on Galois fields
dc.subjectcryptographic algorithms based on Galois Fields algebra
dc.subjectGalois Fields exponentiation
dc.subjectMontgomery reduction
dc.subject.udc004.056.53
dc.titleOne approach to accelerate the exponentiationon galois fields for data protection cryptographicsystems
dc.typeArticle

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Information, Computing and Intelligent systems, No. 2