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MiMC and GMiMC are families of MPC-friendly block ciphers and hash functions. In this note, we show that the block ciphers MiMC-2n/n2n/n (or Feistel-MiMC) and univariate GMiMC are vulnerable to an att...
Cryptographic applications of capacity theory: On the optimality of Coppersmith's method for univariate polynomials
Coppersmith's method lattices polynomial congruences
2016/12/9
We draw a new connection between Coppersmith's method for finding small solutions to polynomial congruences modulo integers and the capacity theory of adelic subsets of algebraic curves. Coppersmith's...
Rounding and Chaining LLL: Finding Faster Small Roots of Univariate Polynomial Congruences
Coppersmith's Algorithm Small Roots of Polynomial Equations LLL
2016/1/9
In a seminal work at EUROCRYPT '96, Coppersmith showed how to find all small roots of a univariate polynomial congruence in polynomial time: this has found many applications in public-key cryptanalysi...
Univariate polynomial solutions of algebraic difference equations
Difference equation Elementary symmetric polynomials Power-sum symmetric polynomials Newton–Girard formulæ System of linear equations
2015/5/6
Contrary to linear difference equations, there is no general theory of difference equations of the form G(P(x − τ1),..., P(x − τs)) +G0(x) = 0, with τi ∈ K, G(x1,..., xs) ∈ K[x1,..., xs] o...
Rounding LLL: Finding Faster Small Roots of Univariate Polynomial Congruences
Coppersmith's Algorithm Small Roots of Polynomial Equations
2014/3/10
In a seminal work at EUROCRYPT '96, Coppersmith showed how to find all small roots of a univariate polynomial congruence in polynomial time: this has found many applications in public-key cryptanalysi...
Global risk bounds and adaptation in univariate convex regression
Global risk bounds adaptation univariate convex regression
2013/6/13
We consider the problem of nonparametric estimation of a convex regression function $\phi_0$. We study global risk bounds and adaptation properties of the least squares estimator (LSE) of $\phi_0$. Un...
Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Generalized modified least squares in the univariate linear model
Ordinary least squares Modified least squares Generalized modified least squares Univariate linear model
2011/11/9
In this short paper, we mainly aim to appeal to readers to pay close attention to the criterion of modified least squares and develop it to generalized modified least squares. The closed-form of the g...
Estimating Extremal Dependence in Univariate and Multivariate Time Series via the Extremogram
Extremogram extremal dependence stationary bootstrap financial time series
2011/10/9
Abstract: Davis and Mikosch [7] introduced the extremogram as a flexible quantitative tool for measuring various types of extremal dependence in a stationary time series. There we showed some standard...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/8/18
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/9/21
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
Univariate Side Channel Attacks and Leakage Modeling
applications Side Channel Attack Correlation Regression
2011/7/25
Differential power analysis is a powerful cryptanalytic technique that exploits information leaking from physical implementations of cryptographic algorithms. During the two last decades numerous vari...
A study of the uniform accuracy of univariate thin plate spline interpolation
plate spline interpolation Numerical Analysis
2011/9/16
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
Univariate Side Channel Attacks and Leakage Modeling
applications / Side Channel Attack Correlation Regression
2012/3/28
Differential power analysis is a powerful cryptanalytic technique that exploits information leaking from physical implementations of cryptographic algorithms. During the two last decades numerous vari...
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...