Paper Info
Title
An Implementation of ECC with Twisted Montgomery Curve over 32nd Degree Tower Field on Arduino Uno.
Abstract
The security of Internet of Things (IoT) devices is one of the most important problems to be addressed by the cryptographers and security engineers. The processing ability of IoT devices is limited, therefore light-weight and secure cryptographic tools are necessary for security of them. This paper shows the implementation of 256-bit Elliptic Curve Cryptography (ECC) on an 8-bit microcontroller. The proposed implementation applies towering technique for extension field of degree 32 with a certain 8-bit prime characteristic instead of the 256-bit prime characteristic. It enables to execute 256-bit ECC operations without complicated multiple-precision arithmetic on small computers like 8-bit microcontrollers. This approach efficiently realizes the scalability of the ECC encryption strength. In addition, the authors use a twisted Montgomery curve with a Montgomery ladder technique which enables fast calculations without inversions referring to Curve25519. It is considered resistant to the Side Channel Attack (SCA) since it applies the Montgomery ladder technique for scalar multiplication (SCM). This ECC implementation on Arduino UNO, an 8-bit microcontroller board, can be utilized for a key agreement protocol among IoT devices.
Year
Venue
Field
2018
IJNC
Scalar multiplication,Cryptography,Computer science,Encryption,Montgomery curve,Microcontroller,Side channel attack,Elliptic curve cryptography,Curve25519,Embedded system
DocType
Volume
Issue
Journal
8
2
Citations 
PageRank 
References 
0
0.34
0
Authors
7
Name
Order
Citations
PageRank
Yuta Hashimoto100.68
Md. Al-Amin Khandaker201.69
Yuta Kodera302.37
Taehwan Park4169.91
Takuya Kusaka5415.71
Howon Kim630554.86
Yasuyuki Nogami714652.44