АЛГОРИТМ ПРИСКОРЕНОГО МОДУЛЯРНОГО ПРИМНОЖЕННЯ ЧИСІЛ ВЕЛИКОГО РОЗРЯДНОСТІ ПРИ ФІКСОВАНОМУ МОДУЛІ

Authors

  • K. G. Samofalov Национальный технический университет Украины ”КПИ”
  • Ramzi Anwar Saliba Sunna Национальный технический университет Украины «КПИ»
  • A. E. Romanovsky Национальный технический университет Украины «КПИ»

Abstract

A new algorithm for the software implementation of modular multiplication is proposed, using pre-computations with a constant modulus. The developed modular multiplication algorithm provides greater performance compared to the known algorithms focused on the variable value of the modulus, especially when implemented in software on low-bit microcontrollers and smart cards. In this case, the proposed algorithm provides approximately twice the performance compared to Montgomery's algorithm with a relatively small amount of additional memory.

Author Biography

K. G. Samofalov , Национальный технический университет Украины ”КПИ”

чл.-кор. НАН України

References

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Bosselaers A., Govaerts R., Vande- walle J. Comparison of three modular reduc-tion functions // Proceeding of Advances in Cryptology CRYPTO’93, LNCS-773, Springer-Verlag, 1993.-P. 175-186.

Dhem J. F., Quisquater J.-J. Resent results on modular multiplications for smart cards // Proceeding of GARDIS 1998. LNCS-1820, Springer-Verlag, 2000. - P. 350-366.

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Published

2005-09-30

How to Cite

Samofalov , K. G., Saliba Sunna, R. A. ., & Romanovsky, A. E. (2005). АЛГОРИТМ ПРИСКОРЕНОГО МОДУЛЯРНОГО ПРИМНОЖЕННЯ ЧИСІЛ ВЕЛИКОГО РОЗРЯДНОСТІ ПРИ ФІКСОВАНОМУ МОДУЛІ. Problems of Informatization and Control, 3(14), 121–128. Retrieved from http://jrnl.kai.edu.ua/index.php/PIU/article/view/16323

Issue

Vol. 3 No. 14 (2005)

Section

Статті

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