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Carlos Benitez

Publications and source records attributed to Carlos Benitez.

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Mapping Quantum Threats: An Engineering Inventory of Cryptographic Dependencies

The prospective emergence of large-scale quantum computers capable of executing Shor's algorithm at cryptographically relevant scale would render widely deployed public-key cryptography computationally insecure. Under this threat model, both confidentiality of previously protected data and the authenticity of digital signatures could be compromised across multiple layers of digital infrastructure. This paper presents a systematic engineering inventory of technologies that depend on quantum-vulnerable asymmetric cryptography. The analysis is structured along two complementary axes (technology domain and operational environment) linking cryptographic primitives to their real-world deployment contexts. The resulting framework provides a structured basis for identifying systemic exposure to quantum-related risks across contemporary digital ecosystems.

cs.CR

Measuring shape relations using r-parallel sets

Geometrical measurements of biological objects form the basis of many quantitative analyses. Hausdorff measures such as the volume and the area of objects are simple and popular descriptors of individual objects, however, for most biological processes, the interaction between objects cannot be ignored, and the shape and function of neighboring objects are mutually influential. In this paper, we present a theory on the geometrical interaction between objects based on the theory of spatial point processes. Our theory is based on the relation between two objects: a reference and an observed object. We generate the $r$-parallel sets of the reference object, we calculate the intersection between the $r$-parallel sets and the observed object, and we define measures on these intersections. Our measures are simple like the volume and area of an object, but describe further details about the shape of individual objects and their pairwise geometrical relation. Finally, we propose a summary statistics for collections of shapes and their interaction. We evaluate these measures on a publicly available FIB-SEM 3D data set of an adult rodent.

cs.CV