Thresholding Post-Quantum Signatures

Threshold signature schemes distribute the signing process among $T$ parties out of $N$. They enable a variety of applications and their research is also motivated by a recent NIST call. However, applications are dominated by pre-quantum signatures, which are more efficient but not secure in the...

AI Grinding for Fun and Cryptanalysis

We present an autonomous cryptanalysis workflow in which agents generate, test, and refine hypotheses before human review. The autonomous stage returns reproducible candidates with exact witnesses, controls, code, and run records. A researcher then decides whether the evidence establishes a break...

QUBO Modeling of Module Learning with Errors: Stability and Scaling in Post-Quantum Cryptography

Lattice-based post-quantum cryptography relies on the hardness of the Learning With Errors LWE and Module Learning With Errors MLWE problems. This work introduces a constructive framework for encoding small MLWE instances as Quadratic Unconstrained Binary Optimization QUBO models suitable for...

Fundamentals, Recent Advances, and Challenges Regarding Cryptographic Algorithms for the Quantum Computing Era

This book arises from the need to provide a clear and up-to-date overview of the impacts of quantum computing on cryptography. The goal is to provide a reference in Portuguese for undergraduate, master's, and doctoral students in the field of data security and cryptography. Throughout the chapter...

Post-Quantum Cryptography Key Expansion Method and Anonymous Certificate Scheme Based on NTRU

NTRU is one of the important lattice-based post-quantum cryptography methods, offering resistance against quantum computing attacks. However, a drawback of NTRU lies in its relatively low efficiency in generating key pairs. Therefore, this study proposes an NTRU-based key expansion method that...

Categorical Framework for Quantum-Resistant Zero-Trust AI Security

The rapid deployment of AI models necessitates robust, quantum-resistant security, particularly against adversarial threats. Here, we present a novel integration of post-quantum cryptography PQC and zero trust architecture ZTA, formally grounded in category theory, to secure AI model access. Our...

Energy-Efficient NTT Sampler for Kyber Benchmarked on FPGA

Kyber is a lattice-based key encapsulation mechanism selected for standardization by the NIST Post-Quantum Cryptography PQC project. A critical component of Kyber's key generation process is the sampling of matrix elements from a uniform distribution over the ring Rq . This step is one of the mos...

Lattice-Based Cryptosystems and Quantum Cryptanalysis

Quantum computers are probably coming, though we dont know when--and when they arrive, they will, most likely, be able to break our standard public-key cryptography algorithms. In anticipation of this possibility, cryptographers have been working on quantum-resistant public-key algorithms. The...