Publication

On the Optimality of Linear, Differential, and Sequential Distinguishers

Pascal Junod
2003
Conference Papers

Abstract

In this paper, we consider the statistical decision processes behind a linear and a differential cryptanalysis. By applying techniques and concepts of statistical hypothesis testing, we describe precisely the shape of optimal linear and differential distinguishers and we improve known results of Vaudenay concerning their asymptotic behaviour. Furthermore, we formalize the concept of ``sequential distinguisher'' and we illustrate potential applications of such tools in various statistical attacks.

Official source

https://infoscience.epfl.ch/entities/publication/79278844-8978-4cc1-abc4-b69a130802dd

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Pascal Junod
2003
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/79278844-8978-4cc1-abc4-b69a130802dd

About this result

Related concepts (32)

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Statistical hypothesis testing

A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters. While hypothesis testing was popularized early in the 20th century, early forms were used in the 1700s. The first use is credited to John Arbuthnot (1710), followed by Pierre-Simon Laplace (1770s), in analyzing the human sex ratio at birth; see .

Optimal control

Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in science, engineering and operations research. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the moon with minimum fuel expenditure.

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On the Optimality of Linear, Differential, and Sequential Distinguishers

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