While integer multiplication instructions are available in most processors, the multiplications in GF(2 m ), which are needed in ECC over binary field, are not supported

To evaluate the effectiveness of binary field multipli- cation instructions on 8-bit processors, we modified the Avrora simulator and included binary filed multiplication

The point operations including point addition, point doubling, and scalar multiplica- tion operations are implemented on a real SEC (Standards for Efficient Cryptography) ECC curve,

Elliptic curve cryptography Public Key Cryptography, embedded systems, Elliptic Curve Digital Signature Algorithm ( ECDSA), Elliptic Curve Diffie Hellman Key

This section presents the results for the binary field arithmetic and shows the impact of the improved LD/Montgomery point multiplication and the resulting performance gain for

In our research work, we want to exploit the parallelism available in projective forms at the operation level (fine grain parallelism) to accelerate ECC point

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It is, however, believed to be more difficult to solve than the general discrete logarithm problem, and the various factorization problems that are used in other cryptosystems (and

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Keywords: Elliptic curve, Point addition, Point doubling, Scalar multiplication, Protocol, Elliptic.. curve

For various purposes, including elliptic curve primality proving and finding suit- able elliptic curves for elliptic curve cryptography or for pairing-based cryptography, one wants

The strength of public key cryptography utilizing Elliptic Curves relies on the difficulty of computing discrete logarithms in a finite field.. Diffie-Hellman key exchange

Such applications use public key cryptosystems like RSA and Elliptic Curve Cryptosystem (ECC) [1][2].. Elliptic Curve Cryptosystems are emerging as a new generation of

We used the ARM C compiler in all cases, with assembly language inserts to accelerate specific code segments and all compiler options tuned for speed. Com- parison

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Encryption Times for Different Key Size This section analyses the performanc and ECC-TC for MANET in terms of encry various network sizes and different thresho results

The idea of fast point-counting on genus-2 curves by constructive Weil restriction was introduced by Gaudry, Hess, and Smart in [26], but the constructions in [26] were limited