Elliptic Curve Lifting Problem and Its Applications
نویسندگان
چکیده
منابع مشابه
On Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from elliptic curves over finite fields to global fields. We explore the possibility of circumventing the problem of explicitly lifting points by investigating whether partial information about the lifting would be sufficient f...
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The goal of this research is to develop a basis for utilizing efficient encryption schemes in wireless communications and in devices with low computing power and resources. Elliptic Curve Cryptography (ECC) fits well for an efficient and secure encryption scheme. It is more efficient than the ubiquitous RSA based schemes because ECC utilizes smaller key sizes for equivalent security. A comparat...
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Elliptic curve cryptography (ECC) is a kind of public key cryptosystem like RSA. But it differs from RSA in its quicker evolving capacity and by providing attractive and alternative way to researchers of cryptographic algorithm. The security level which is given by RSA can be provided even by smaller keys of ECC (for example, a 160 bit ECC has roughly the same security strength as 1024 bit RSA)...
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The point of this paper is to create a basis for apply efficient encryption schemes in wireless communications and in devices with low computing power and resources. Elliptic Curve Cryptography (ECC) fits well for an efficient and secure encryption scheme. It is more efficient than the traditional integer based RSA schemes because ECC utilizes smaller key sizes for equivalent security. A compar...
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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...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1999
ISSN: 0386-2194
DOI: 10.3792/pjaa.75.166