Customising Hardware Designs for Elliptic Curve Cryptography

2004 ◽  
pp. 274-283 ◽  
Author(s):  
Nicolas Telle ◽  
Wayne Luk ◽  
Ray C. C. Cheung
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Hardware Designs

Research and Hardware Design of Scalable Dual-Field Montgomery Modular Inversion Algorithm

2011 ◽  
Vol 58-60 ◽  
pp. 1007-1012
Author(s):  
Lin Chen ◽  
Wan Zhong Sun ◽  
Xing Yuan Chen ◽  
Chao Zhou
Keyword(s):  
Elliptic Curve ◽  
Prime Number ◽  
Elliptic Curve Cryptography ◽  
Arithmetic Operation ◽  
Hardware Design ◽  
Operation Time ◽  
Hardware Architecture ◽  
Inversion Algorithm ◽  
Modular Inversion ◽  
Hardware Designs

The modular inversion is an essential and the most time consuming arithmetic operation in Elliptic Curve Cryptography (ECC). This paper presents an improved scalable dual-field Montgomery modular inversion algorithm which is based on Kaliski algorithm. It can support the prime number modular inversion algorithm and binary modular inversion algorithm. According to the algorithm, the hardware architecture is designed. The result of experimentation shows that the hardware design is superior to other hardware designs in operation time, circuit area and flexibility.

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

Enhanced Security Authentication of WiMAX using EC3A

2017 ◽  
Vol 7 (8) ◽  
pp. 219
Author(s):  
Mohd Javed ◽  
Khaleel Ahmad ◽  
Ahmad Talha Siddiqui
Keyword(s):  
Cellular Automata ◽  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Information Rate ◽  
Security Authentication ◽  
Encryption And Decryption ◽  
High Information

WiMAX is the innovation and upgradation of 802.16 benchmarks given by IEEE. It has numerous remarkable qualities, for example, high information rate, the nature of the service, versatility, security and portability putting it heads and shoulder over the current advancements like broadband link, DSL and remote systems. Though like its competitors the concern for security remains mandatory. Since the remote medium is accessible to call, the assailants can undoubtedly get into the system, making the powerless against the client. Many modern confirmations and encryption methods have been installed into WiMAX; however, regardless it opens with up different dangers. In this paper, we proposed Elliptic curve Cryptography based on Cellular Automata (EC3A) for encryption and decryption the message for improving the WiMAX security

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