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Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the $\ell$-Tate pairing in terms of the action of the Frobenius on the $\ell$-torsion of the Jacobian of a ge...
Abstract: We present a heuristic asymptotic formula as $x\to \infty$ for the number of pairing-friendly elliptic curves with fixed embedding degree $k\geq 3$, with fixed discriminant, with rho-value b...
We define a variant of Hochster's theta pairing and prove that it is constant in flat families of modules over hypersurfaces with isolated singularities. As a consequence, we show that the theta pair...
For a smooth proper variety over a p-adic field, the Brauer group and abelian fundamental group are related to the higher Chow groups by the Brauer-Manin pairing and the class field theory. We general...
In this article a stochastic death process in which particles of two types combine and are removed from the system at a rate proportional to the product of their numbers is considered. A simpler app...
An accumulator based on bilinear pairings was proposed at CT-RSA’05. In this paper, we first demonstrate that the security model proposed by Lan Nguyen does lead to a cryptographic accumulator which i...

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