منابع مشابه
Elliptic curve cryptographic systems
Remark 3 To resist generic attacks on the discrete logarithm problem, elliptic curve cryptosystems are implemented in the prime order cyclic subgroup of maximal cardinality n inside E(Fq). For representing group elements with the minimum number of bits, it is desirable that the curve order itself be prime. Except for special cases (see Section 1.3 and [59, 61, 65]), only generic attacks are kno...
متن کاملFast Key Exchange with Elliptic Curve Systems
The Diffie-Hellman key exchange algorithm can be implemented using the group of points on an elliptic curve over the field F2n . A software version of this using n = 155 can be optimized to achieve computation rates that are significantly faster than non-elliptic curve versions with a similar level of security. The fast computation of reciprocals in F2n is the key to the highly efficient implem...
متن کاملElliptic curve cryptography on embedded multicore systems
The increasing use of network-connected embedded devices and online transactions creates a growing demand of network security for embedded systems. The security requirements, such as authentication, confidentiality and integrity, always make computationally intensive processes and can easily become the bottleneck of the related applications. In this paper we implement Elliptic Curve Cryptograph...
متن کاملTag - systems for the Hilbert curve 1
Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.
متن کاملTag-systems for the Hilbert Curve
Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.
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ژورنال
عنوان ژورنال: Nature
سال: 1969
ISSN: 0028-0836,1476-4687
DOI: 10.1038/224825b0