scholarly journals Composite Field Multiplier based on Look-Up Table for Elliptic Curve Cryptography Implementation

2012 ◽  
Vol 6 (1) ◽  
pp. 63-81 ◽  
Author(s):  
Marisa W. Paryasto ◽  
◽  
Budi Rahardjo ◽  
Fajar Yuliawan ◽  
Intan Muchtadi-Alamsyah ◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Look Up Table ◽  
Composite Field

An Area-Efficient Composite Field Inverter for Elliptic Curve Cryptosystems

2014 ◽  
pp. 218-237
Author(s):  
M. M. Wong ◽  
M. L. D. Wong
Keyword(s):  
Elliptic Curve ◽  
Complexity Analysis ◽  
Extension Field ◽  
Arithmetic Operations ◽  
Hardware Cost ◽  
Elliptic Curve Cryptosystems ◽  
Look Up Table ◽  
Composite Field ◽  
Optimal Saving ◽  
Area Efficient

This chapter presents a new area-efficient composite field inverter of the form GF(q1) with q=2n.m suitable for the hardware realization of an elliptic curve (EC) cryptosystem. Considering both the security aspect and the hardware cost required, the authors propose the utilization of the composite field GF(((22)2)41) for EC cryptosystem. For efficient implementation, they have derived a compact inversion circuit over GF(2164)=GF(((22)2)41) to achieve an optimal saving in the hardware cost required. Furthermore, the authors have also developed a composite field digit serial Sunar-Koc multiplier for the multiplication in the extension field. All of the arithmetic operations in the subfield GF(24) are performed in its isomorphic composite field, GF((22)2), leading to a full combinatorial implementation without resorting to the conventional look-up table approach. To summarize the work, the final hardware implementation and the complexity analysis of the inversion is reported towards the end of this chapter.

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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