Evaluating Side-Channel Resistance Using Low Order Rational Points Against Curve25519 and an Associated Quadratic Twist

Rational Points on Some Fano Quadratic Bundles

We study the number of rational points of bounded height on a certain threefold. The accumulating subvarieties are Zariski-dense in this example. The computations support an extension of a conjecture of Manin to this situation.

Affine Masking against Higher-Order Side Channel Analysis

In the last decade, an effort has been made by the research community to find efficient ways to thwart side channel analysis (SCA) against physical implementations of cryptographic algorithms. A common countermeasure for implementations of block ciphers is Boolean masking which randomizes by the bitwise addition of one or several random value(s) to the variables to be protected. However, advanc...

Rational quadratic - flux minimizing circles for area - preserving twist maps

By considering families of periodic pseudo-orbits on the cylindrical phase space of an area-preserving twist map, we construct curves of rational rotation number that are critical points of a non-negative error norm (the mean-square action gradient or "quadratic flux"). Two alternative angle-parametrizations of the curves are presented and numerical evidence is given that the curves possess the...

Rational Points on X + 0 ( N ) and Quadratic

Protections against Side-Channel Attacks

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