The manner which produces the cryptography unit for the asymmetric cryptography system which uses discrete logarithmic functionThe invention relates to a group of public-key cryptography schemas that use the discrete logarithm problem with the purpose of reducing the cost of developing, producing and ...
Consider the DL problem in F 2 n . Dictionnary: Integers ↔ Polynomials over F 2 . Primes ↔ Irreducible polys. B-smooth ↔ Degree-log B-smooth. Then, copy-paste the same algorithm. 18/32 Discrete log in F 2 n 1. Fix a smoothness bound B, and construct the factor base F =...
Elliptic Curve Irreducible Polynomial References L. M. Adleman. A subexponential algorithm for the discrete logarithm problem with applicationsto cryptography. In Author information Authors and Affiliations Laboratoire d’Informatique (LIX), École polytechnique, 91128, Palaiseau Cedex, France Emmanuel Thomé...
The security of many cryptographic constructions relies on assumptions related to Discrete Logarithms (DL), e.g., the Diffie-Hellman, Square Exponent, Inverse Exponent or Representation Problem assumptions. In the concrete formalizations of these assumptions one has some degrees of freedom offered by ...
In terms of index calculation, firstly, the logarithmic efficacy function was used to deal with the initial index value dimensionless, secondly, the weight of each index was determined by the analytic hierarchy process, and then, the final digital inclusive financial index was calculated by layer-...
We suggest that the closing of this gap is an important problem and discuss prospects for its solution.Risto M. HakalaKaisa NybergInternational Conference on Sequences and Their ApplicationsR.M. Hakala, K. Nyberg, On the nonlinearity of discrete logarithm in F2n , in: C. Carlet, A. Pott...
A few years after the introduction of elliptic curve cryptography, it has been proposed to use the divisor class group of a hyperelliptic curve over a finite field [37], in this case we note the discrete logarithm problem HCDLP. To estimate the security of cryptosystems based on the HCDLP...
In Sect. 4 we provide an argument system for this problem, which only requires a logarithmic communication with respect to the vector sizes. The argument is built in a recursive way, reducing the size and complexity of the statement further in each recursion step. Using this inner product ...
Since then, discrete Gaussian distributions have been used extensively in all aspects of lattice-based cryptography (most notably in the famous "Learning with Errors" problem and its variants [14]). Despite their utility, we still do not understand discrete Gaussian distributions as well as we do...