Publications related to Digital Signature Schemes with Domain Parameters

Side-channel analysis of isogeny-based key encapsulation mechanisms and hash-based digital signatures

Current cryptographic solutions will become obsolete with the arrival of large-scale universal quantum computers. As a result, the National Institute of Standards and Technology supervises a post-quantum standardization process which involves evaluating ca ...

EPFL2024

Exploring SIDH-Based Signature Parameters

Tako Boris Fouotsa, Laurane Chloé Angélina Marco, Andrea Basso

Isogeny-based cryptography is an instance of post-quantum cryptography whose fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves E and E′. This problem is closely related to that of computing the endomorphism ring of ...

Springer2024

Some Mordell-Weil lattices and applications to sphere packings

Gauthier Leterrier

We provide new explicit examples of lattice sphere packings in dimensions 54, 55, 162, 163, 486 and 487 that are the densest known so far, using Kummer families of elliptic curves over global function fields.In some cases, these families of elliptic curves ...

EPFL2024

Making Classical (Threshold) Signatures Post-quantum for Single Use on a Public Ledger

Serge Vaudenay, Laurane Chloé Angélina Marco, Abdullah Talayhan

The Bitcoin architecture heavily relies on the ECDSA signature scheme which is broken by quantum adversaries as the secret key can be computed from the public key in quantum polynomial time. To mitigate this attack, bitcoins can be paid to the hash of a pu ...

2023

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

Ngoc Khanh Karol Nguyen

We give a construction of an efficient one-out-of-many proof system, in which a prover shows that he knows the pre-image for one element in a set, based on the hardness of lattice problems. The construction employs the recent zero-knowledge framework of Ly ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

The Lang-Trotter conjecture for products of non-CM elliptic curves

Vlad Serban

Inspired by the work of Lang-Trotter on the densities of primes with fixed Frobenius traces for elliptic curves defined over Q and by the subsequent generalization of Cojocaru-Davis-Silverberg-Stange to generic abelian varieties, we study the analogous que ...

SPRINGER2022

A new elementary proof of the Prime Number Theorem

Florian Karl Richter

Let

\Omega(n)

denote the number of prime factors of

n

. We show that for any bounded

f\colon\mathbb{N}\to\mathbb{C}

one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...

2021

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

Luis Guillermo Villanueva Torrijo, Seniz Esra Küçük, Soumya Yandrapalli, Victor Plessky

Dispersion of A1 Lamb mode near onset frequency is discussed. This mode is close to that used in XBAR devices. The typically used approximation is based on elliptic form of slowness curve and ignoring mode interaction is not valid for widely used materials ...

IEEE2021

Side-channel attacks on SIKE

Natacha Yolande Emmanuel Marie Linard de Guertechin

This thesis presents, firstly, an introduction to the current state of the art in isogeny-based cryptography, and secondly, a side-channel differential power analysis of SIKE—an isogeny-based key exchange algorithm—in semi-static mode. These attacks have b ...

2020

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Florian Karl Richter

We investigate how spectral properties of a measure-preserving system (X, B, mu, T) are reflected in the multiple ergodic averages arising from that system. For certain sequences a :N -> N, we provide natural conditions on the spectrum sigma (T) such that, ...

2019

Digital Signature Schemes with Domain Parameters

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Side-channel analysis of isogeny-based key encapsulation mechanisms and hash-based digital signatures

Exploring SIDH-Based Signature Parameters

Some Mordell-Weil lattices and applications to sphere packings

Making Classical (Threshold) Signatures Post-quantum for Single Use on a Public Ledger

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

The Lang-Trotter conjecture for products of non-CM elliptic curves

A new elementary proof of the Prime Number Theorem

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

Side-channel attacks on SIKE

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

Side-channel analysis of isogeny-based key encapsulation mechanisms and hash-based digital signatures

Exploring SIDH-Based Signature Parameters

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

Some Mordell-Weil lattices and applications to sphere packings

Making Classical (Threshold) Signatures Post-quantum for Single Use on a Public Ledger

A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems

The Lang-Trotter conjecture for products of non-CM elliptic curves

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

Side-channel attacks on SIKE

A new elementary proof of the Prime Number Theorem