Elliptic Curve Scalar Multiplication Operation: a Survey Study

Authors

  • Ayaat Waleed Department of Mathematics, Faculty of Education for Girls, University of Kufa
  • Najlae Falah Hameed Al Saffar Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa https://orcid.org/0000-0001-5599-2885

DOI:

https://doi.org/10.31642/JoKMC/2018/100226%20

Keywords:

Elliptic curve scalar multiplication, Signed binary method, NAF, w-NAF, MOF, DRM, CRT

Abstract

Scalar multiplication is the fundamental operation in the elliptic curve cryptosystem. It involves calculating the integer multiple of a specific elliptic curve point. It involves three levels: field, point, and scalar arithmetic. Scalar multiplication will be significantly more efficient overall if the final level is improved. By reducing the hamming weight or the number of operations in the scalar representation, one can raise the level of scalar arithmetic. This paper reviews some of the algorithms and techniques that improve the elliptic curve scalar multiplication in terms of the third level.

 

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Author Biography

Najlae Falah Hameed Al Saffar, Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa

 

 

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Published

2023-08-31

How to Cite

Waleed, A., & Al Saffar, N. F. H. (2023). Elliptic Curve Scalar Multiplication Operation: a Survey Study. Journal of Kufa for Mathematics and Computer, 10(2), 173–178. https://doi.org/10.31642/JoKMC/2018/100226