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Implementation And Analysis Of Elliptic Curve Cryptosystems Over Polynomial Basis And Onb

descriptionPublicationkeyboard_double_arrow_right Article 22 Oct 2007 English Publisher:Zenodo

Authors: Yong-Je Choi; Moo-Seop Kim; Hang-Rok Lee; Ho-Won Kim;

doi: 10.5281/zenodo.1330374 , 10.5281/zenodo.1330375

Implementation And Analysis Of Elliptic Curve Cryptosystems Over Polynomial Basis And Onb

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Abstract

Polynomial bases and normal bases are both used for elliptic curve cryptosystems, but field arithmetic operations such as multiplication, inversion and doubling for each basis are implemented by different methods. In general, it is said that normal bases, especially optimal normal bases (ONB) which are special cases on normal bases, are efficient for the implementation in hardware in comparison with polynomial bases. However there seems to be more examined by implementing and analyzing these systems under similar condition. In this paper, we designed field arithmetic operators for each basis over GF(2233), which field has a polynomial basis recommended by SEC2 and a type-II ONB both, and analyzed these implementation results. And, in addition, we predicted the efficiency of two elliptic curve cryptosystems using these field arithmetic operators.

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