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Multiquadratic Rings and Walsh-Hadamard Transforms for Oblivious Linear Function Evaluation

Related publications (38)

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Arithmetic and geometric structures in cryptography

Benjamin Pierre Charles Wesolowski

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

EPFL2018

Rethinking Secure FPGAs: Towards a Cryptography-friendly Configurable Cell Architecture and its Automated Design Flow

Edoardo Charbon, Francesco Regazzoni

This work proposes the first fine-grained configurable cell array specifically tailored for the implementation of cryptographic algorithms that can be configured using widely adopted hardware description languages. Our solution can be added as a small, cry ...

IEEE2018

Short Stickelberger Class Relations and Application to Ideal-SVP

Benjamin Pierre Charles Wesolowski

The worst-case hardness of finding short vectors in ideals of cyclotomic number fields (Ideal-SVP) is a central matter in lattice based cryptography. Assuming the worst-case hardness of Ideal-SVP allows to prove the Ring-LWE and Ring-SIS assumptions, and t ...

Springer International Publishing Ag2017

Instruction Set Extensions for Secure Applications

Paolo Ienne, Francesco Regazzoni

The main goal of this paper is to expose the community to past achievements and future possible uses of Instruction Set Extension (ISE) in security applications. Processor customization has proven to be an effective way for achieving high performance with ...

Ieee2016

DES S-box generator

Serge Vaudenay, Lauren De Meyer

The Data Encryption Standard (DES) is a cryptographic algorithm, designed by IBM, that was selected to be the national standard in 1977 by the National Bureau of Standards. The algorithm itself was entirely published but the design criteria were kept secre ...

Taylor & Francis Inc2016

Bringing Theory Closer to Practice in Post-quantum and Leakage-resilient Cryptography

Alexandre Raphaël Duc

Modern cryptography pushed forward the need of having provable security. Whereas ancient cryptography was only relying on heuristic assumptions and the secrecy of the designs, nowadays researchers try to make the security of schemes to rely on mathematical ...

EPFL2015

Algebraic Cryptanalysis of Deterministic Symmetric Encryption

Petr Susil

Deterministic symmetric encryption is widely used in many cryptographic applications. The security of deterministic block and stream ciphers is evaluated using cryptanalysis. Cryptanalysis is divided into two main categories: statistical cryptanalysis and ...

EPFL2015

Better Algorithms for LWE and LWR

Serge Vaudenay, Alexandre Raphaël Duc, Florian Tramèr

The Learning With Error problem (LWE) is becoming more and more used in cryptography, for instance, in the design of some fully homomorphic encryption schemes. It is thus of primordial importance to find the best algorithms that might solve this problem so ...

Springer2015

Automated Side-Channel Vulnerability Discovery and Hardening

Ali Galip Bayrak

In traditional cryptography, an attacker tries to infer a mathematical relationship between the inputs and outputs of a cryptosystem to recover secret information. With the advances in the theoretical basis of the cryptographic algorithms, this task became ...

EPFL2014

TCHo: A Code-Based Cryptosystem

Serge Vaudenay, Alexandre Raphaël Duc

TCHo is a public-key cryptosystem based on the hardness of finding a multiple polynomial with low weight and on the hardness of distinguishing between the output of an LFSR with noise and some random source. An early version was proposed in 2006 by Finiasz ...

Springer Berlin Heidelberg2013