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A Technique to Speed up the Modular Multiplicative Inversion over GF(P) Applicable to Elliptic Curve Cryptography

by V. Sridhar, Anil Kumar M .n
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 47 - Number 16
Year of Publication: 2012
Authors: V. Sridhar, Anil Kumar M .n
10.5120/7273-0412

V. Sridhar, Anil Kumar M .n . A Technique to Speed up the Modular Multiplicative Inversion over GF(P) Applicable to Elliptic Curve Cryptography. International Journal of Computer Applications. 47, 16 ( June 2012), 21-25. DOI=10.5120/7273-0412

@article{ 10.5120/7273-0412,
author = { V. Sridhar, Anil Kumar M .n },
title = { A Technique to Speed up the Modular Multiplicative Inversion over GF(P) Applicable to Elliptic Curve Cryptography },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 47 },
number = { 16 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 21-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume47/number16/7273-0412/ },
doi = { 10.5120/7273-0412 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:42:01.693304+05:30
%A V. Sridhar
%A Anil Kumar M .n
%T A Technique to Speed up the Modular Multiplicative Inversion over GF(P) Applicable to Elliptic Curve Cryptography
%J International Journal of Computer Applications
%@ 0975-8887
%V 47
%N 16
%P 21-25
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a technique to speed up the computation of inversion of NIST recommended elliptic curve with modulus p521-1. The property of multiplicative inverse between pair of numbers over Meresenne's prime is used to reduce the number of iterations in the Binary Inversion Algorithm in GF(p). This increases the speed requirement for point operations applicable to Elliptic Curve Cryptography. This paper proposes an model of the architecture to achieve the above objective which uses parallelism in multiplicative inversion arithmetic block to speed up the computation.

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Index Terms

Computer Science
Information Sciences

Keywords

Elliptic Curve Cryptography Binary Inversion Algorithm Gf(p) Arithmetic Operators

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