scholarly journals A Comprehensive and Comparative Study of Elliptic Curve Cryptography Hardware Implementations for WSN

2014 ◽  
Vol 3 (1) ◽  
pp. 119-124 ◽  
Author(s):  
Nabil Ghanmy ◽  
Lamia Chaari Fourati ◽  
Lotfi Kamoun
Keyword(s):  
Comparative Study ◽  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Hardware Implementations

A SINGLE FORMULA AND ITS IMPLEMENTATION IN FPGA FOR ELLIPTIC CURVE POINT ADDITION USING AFFINE REPRESENTATION

2010 ◽  
Vol 19 (02) ◽  
pp. 425-433 ◽  
Author(s):  
M. MORALES-SANDOVAL ◽  
C. FEREGRINO-URIBE ◽  
R. CUMPLIDO ◽  
I. ALGREDO-BADILLO
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
High Performance ◽  
Hardware Implementation ◽  
Side Channel ◽  
Low Area ◽  
Hardware Implementations ◽  
New Formulation ◽  
Single Formula ◽  
New Formula

A formula for point addition in elliptic curves using affine representation and its implementation in FPGA is presented. The use of this new formula in hardware implementations of scalar multiplications for elliptic curve cryptography has the main advantages of: (i) reducing area for the implementations of elliptic curve point addition, and (ii) increasing the resistance to side channel attacks of the hardware implementation itself. Hardware implementation of scalar multiplication for elliptic curve cryptography using this new formulation requires low area resources while keeping high performance compared to implementations using projective coordinates, which are usually considered faster than the affine coordinates.

Study of Safe Elliptic Curve Cryptography over Gaussian Integer

2020 ◽  
Vol E103.A (12) ◽  
pp. 1624-1628
Author(s):  
Kazuki NAGANUMA ◽  
Takashi SUZUKI ◽  
Hiroyuki TSUJI ◽  
Tomoaki KIMURA
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Gaussian Integer
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