منابع مشابه
Arithmetic of Generalized Jacobians
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that several practical DL-based cryptosystems, such as ElGamal, the Elliptic and Hyperelliptic Curve Cryptosystems, XTR, LUC as well as CEILIDH can all naturally be reinterpreted in terms of generalized Jacobians. However,...
متن کاملDiscrete Logarithms in Generalized Jacobians
Déchène has proposed generalized Jacobians as a source of groups for public-key cryptosystems based on the hardness of the Discrete Logarithm Problem (DLP). Her specific proposal gives rise to a group isomorphic to the semidirect product of an elliptic curve and a multiplicative group of a finite field. We explain why her proposal has no advantages over simply taking the direct product of group...
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Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...
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The strong mixing property for a sequence of random variables is interesting in its own right. It is discussed that under what conditions the strong mixing property holds for linear stochastic processes and in particular ARMA processes. Then an example of Non-Strong mixing Autoregressive Processes is discussed here.
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Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem ...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1959
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1959.100366