Implementation of Elliptic Curve Cryptosystems
نویسندگان
چکیده
During the last few years, a considerable effort has been devoted to the development of reconfigurable computers, machines that are based on the close interoperation of traditional microprocessors and Field Programmable Gate Arrays (FPGAs). Several prototype machines of this type have been designed, and demonstrated significant speedups compared to conventional workstations for computationally intensive problems, such as codebreaking. Nevertheless, the efficient use and programming of such machines is still an unresolved problem. In this paper, we demonstrate an efficient implementation of an Elliptic Curve scalar multiplication over GF(2) in Optimal Normal Basis, using one of the leading reconfigurable computers available on the market, SRC-6E. We show how the hardware architecture and programming model of this reconfigurable computer has influenced the choice of the architectures for all component operations and the overall design of the system. The detailed analysis of the control, data transfer, and reconfiguration overheads is given in the paper, together with the performance comparison of our implementation against the software implementation of the same problem running on a traditional microprocessor.
منابع مشابه
Efficient elliptic curve cryptosystems
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...
متن کاملAn efficient blind signature scheme based on the elliptic curve discrete logarithm problem
Elliptic Curve Cryptosystems (ECC) have recently received significant attention by researchers due to their high performance such as low computational cost and small key size. In this paper a novel untraceable blind signature scheme is presented. Since the security of proposed method is based on difficulty of solving discrete logarithm over an elliptic curve, performance of the proposed scheme ...
متن کاملElliptic Curve Public Key Cryptosystems { anintroductionErik De Win ? and Bart
In this paper we give an introduction to elliptic curve public key cryptosystems. We explain how the discrete logarithm in an elliptic curve group can be used to construct cryptosystems. We also focus on practical aspects such as implementation, standardization and intellectual property.
متن کاملDiffie-Hellman type key exchange protocols based on isogenies
In this paper, we propose some Diffie-Hellman type key exchange protocols using isogenies of elliptic curves. The first method which uses the endomorphism ring of an ordinary elliptic curve $ E $, is a straightforward generalization of elliptic curve Diffie-Hellman key exchange. The method uses commutativity of the endomorphism ring $ End(E) $. Then using dual isogenies, we propose...
متن کاملAn FPGA Implementation of an Elliptic Curve Processor over
This paper describes a hardware implementation of an arithmetic processor which is efficient for elliptic curve (EC) cryptosystems, which are becoming increasingly popular as an alternative for public key cryptosystems based on factoring. The modular multiplication is implemented using a Montgomery modular multiplication in a systolic array architecture, which has the advantage that the clock f...
متن کاملOn Implementation of GHS Attack against Elliptic Curve Cryptosystems over Cubic Extension Fields of Odd Characteristics
In this paper, we present algorithms for implementation of the GHS attack to Elliptic curve cryptosystems (ECC). In particular, we consider two large classes of elliptic curves over cubic extension fields of odd characteristics which have weak covering curves against GHS attack, whose existence have been shown recently [16][17][18]. We show an algorithm to find definition equation of the coveri...
متن کامل