Towards an Optimized Architecture for Unified Binary Huff Curves

2017 ◽  
Vol 26 (11) ◽  
pp. 1750178 ◽  
Author(s):  
Atif Raza Jafri ◽  
Muhammad Najam ul Islam ◽  
Malik Imran ◽  
Muhammad Rashid
Keyword(s):  
High Throughput ◽  
Elliptic Curve Cryptography ◽  
Power Analysis ◽  
State Of The Art ◽  
Area Ratio ◽  
Optimal Scheduling ◽  
Side Channel ◽  
Pipelined Architecture ◽  
Work Up ◽  
Logic Unit

Applying unified formula while computing point addition and doubling provides immunity to Elliptic Curve Cryptography (ECC) against power analysis attacks (a type of side channel attack). One of the popular techniques providing this unifiedness is the Binary Huff Curves (BHC) which got attention in 2011. In this paper we are presenting highly optimized architectures to implement point multiplication (PM) on the standard NIST curves over [Formula: see text] and [Formula: see text] using BHC. To achieve a high throughput over area ratio, first of all, we have used a simplified arithmetic and logic unit. Secondly, we have reduced the time to compute PM through Double and Add algorithm. This is achieved by increasing the frequency of operation through a 2-stage pipelined architecture. The increase in clock cycles caused by consequent pipeline hazards is controlled through optimal scheduling of computations involved in PM. The synthesis results show that our designs can work up to a frequency of 377[Formula: see text]MHz on Xilinx Virtex 7 FPGA. Moreover, the overall throughput/area ratio achieved through the adopted approach is up to 20% higher while comparing with available state-of-the-art solutions.

scholarly journals High-Throughput Elliptic Curve Cryptography Using AVX2 Vector Instructions

2021 ◽  
pp. 698-719
Author(s):  
Hao Cheng ◽  
Johann Großschädl ◽  
Jiaqi Tian ◽  
Peter B. Rønne ◽  
Peter Y. A. Ryan
Keyword(s):  
Elliptic Curve ◽  
High Throughput ◽  
Elliptic Curve Cryptography

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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