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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 1, Pages 5–28
DOI: https://doi.org/10.4213/mvk24 (Mi mvk24) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Point multiplication on elliptic curves over finite fields using many-base number systems and new types of coordinates

O. N. Vasilenko

TVP Laboratory, Moscow
Full-text PDF (198 kB) Citations (1)
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DOI: https://doi.org/10.4213/mvk24
Abstract: We review a number of algorithms for point-by-scalar multiplication on elliptic curves over finite fields. A new effective algorithm is given for point-by-scalar multiplication on some classes of curves using endomorphisms, double-base number system and Jacobi quartics.
Key words: elliptic curves, elliptic curve point-by-scalar multiplication, double-base number system, computational algorithms.
Received 22.IV.2010
Document Type: Article
UDC: 512.742.72
Language: Russian
Citation: O. N. Vasilenko, “Point multiplication on elliptic curves over finite fields using many-base number systems and new types of coordinates”, Mat. Vopr. Kriptogr., 2:1 (2011), 5–28
Citation in format AMSBIB
\Bibitem{Vas11}
\by O.~N.~Vasilenko
\paper Point multiplication on elliptic curves over finite fields using many-base number systems and new types of coordinates
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 1
\pages 5--28
\mathnet{http://mi.mathnet.ru/mvk24}
\crossref{https://doi.org/10.4213/mvk24}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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