Markovskyi, O.Rusanova, O.Al-Mrayat, G. A. J.Kot, O.2025-04-162025-04-162021One 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.https://ela.kpi.ua/handle/123456789/73385The 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%.enmultiplication operation on Galois fieldscryptographic algorithms based on Galois Fields algebraGalois Fields exponentiationMontgomery reductionArticleP. 12-18https://doi.org/10.20535/2708-4930.2.2021.244178004.056.53