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» Performance of Finite Field Arithmetic in an Elliptic Curve ...
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PKC
2000
Springer
95views Cryptology» more  PKC 2000»
13 years 8 months ago
Selecting Cryptographic Key Sizes
In this article we offer guidelines for the determination of key sizes for symmetric cryptosystems, RSA, and discrete logarithm based cryptosystems both over finite fields and over...
Arjen K. Lenstra, Eric R. Verheul
WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
13 years 10 months ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
Naomi Benger, Michael Scott
ARC
2006
Springer
154views Hardware» more  ARC 2006»
13 years 8 months ago
Reconfigurable Modular Arithmetic Logic Unit for High-Performance Public-Key Cryptosystems
This paper presents a reconfigurable hardware architecture for Public-key cryptosystems. By changing the connections of coarse grain Carry-Save Adders (CSAs), the datapath provides...
Kazuo Sakiyama, Nele Mentens, Lejla Batina, Bart P...
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 8 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
IJNSEC
2010
247views more  IJNSEC 2010»
12 years 11 months ago
Hardware Implementation of Efficient Modified Karatsuba Multiplier Used in Elliptic Curves
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Sameh M. Shohdy, Ashraf El-Sisi, Nabil A. Ismail