Faster Montgomery modular multiplication without pre-computational phase for some classes of finite fields

Date

2010-09-24

Author

Akleylek, Sedat
Cenk, Murat
Özbudak, Ferruh

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In this paper, we give faster versions of Montgomery modular multiplication algorithm without pre-computational phase for GF(p) and GF(2 m ) which can be considered as a generalization of [3], [4] and [5]. We propose sets of moduli different than [3], [4] and [5] which can be used in PKC applications. We show that one can obtain efficient Montgomery modular multiplication architecture in view of the number of AND gates and XOR gates by choosing proposed sets of moduli. We eliminate precomputational phase with proposed sets of moduli. These methods are easy to implement for hardware.

Subject Keywords

Montgomery modular multiplication, Elliptic curve cryptography, Public key cryptography, VLSI implementation

URI

https://hdl.handle.net/11511/32216

DOI

https://doi.org/10.1007/978-90-481-9794-1_75

Collections

Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

S. Akleylek, M. Cenk, and F. Özbudak, “Faster Montgomery modular multiplication without pre-computational phase for some classes of finite fields,” 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32216.