Publications related to Complex logarithm

Breaking `128-bit Secure' Supersingular Binary Curves

The discrete logarithm problem (DLP) in finite fields of small characteristic recently enjoyed a dramatic series of breakthrough results and computational records, with its (heuristic) complexity dropping from subexponential to quasi-polynomial. While thes ...

2014

Breaking `128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in $\mathbb{F}_{2^{4 \cdot 1223}}$ and $\mathbb{F}_{2^{12 \cdot 367}}$)

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

In late 2012 and early 2013 the discrete logarithm problem (DLP) in finite fields of small characteristic underwent a dramatic series of breakthroughs, culminating in a heuristic quasi-polynomial time algorithm, due to Barbulescu, Gaudry, Joux and Thomé. U ...

Springer Berlin Heidelberg2014

Elliptic and Hyperelliptic Curves: A Practical Security Analysis

Joppe Willem Bos, Andrea Miele

Motivated by the advantages of using elliptic curves for discrete logarithm-based public-key cryptography, there is an active research area investigating the potential of using hyperelliptic curves of genus 2. For both types of curves, the best known algor ...

Springer Berlin Heidelberg2014

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

Robert Granger, Jens Markus Zumbrägel

In this paper we propose a binary field variant of the Joux-Lercier medium-sized Function Field Sieve, which results not only in complexities as low as

L_{q^n}(1/3,(4/9)1/3)

for computing arbitrary logarithms, but also in an heuristic polynomial time alg ...

Springer Berlin Heidelberg2013

Solving a $6120$-bit DLP on a Desktop Computer

Robert Granger, Jens Markus Zumbrägel

In this paper we show how some recent ideas regarding the discrete logarithm problem (DLP) in finite fields of small characteristic may be applied to compute logarithms in some very large fields extremely efficiently. By combining the polynomial time relat ...

Springer Berlin Heidelberg2013

Reconstructing Loopy Curvilinear Structures Using Integer Programming

Pascal Fua, Engin Türetken, Fethallah Benmansour

We propose a novel approach to automated delineation of linear structures that form complex and potentially loopy networks. This is in contrast to earlier approaches that usually assume a tree topology for the networks. At the heart of our method is an Int ...

Ieee2013

The Golgi apparatus: an organelle with multiple complex functions

Giovanni D'Angelo

Remarkable advances have been made during the last few decades in defining the organizational principles of the secretory pathway. The Golgi complex in particular has attracted special attention due to its central position in the pathway, as well as for it ...

2011

Decoding of grasping information from neural signals recorded using peripheral intrafascicular interfaces

Silvestro Micera, Stanisa Raspopovic, Jacopo Rigosa

Background: The restoration of complex hand functions by creating a novel bidirectional link between the nervous system and a dexterous hand prosthesis is currently pursued by several research groups. This connection must be fast, intuitive, with a high su ...

2011

Faster and Smoother - VSH Revisited

Juraj Sarinay

We reconsider the provably collision resistant Very Smooth Hash and propose a small change in the design aiming to improve both performance and security. While the original proofs of security based on hardness of factoring or discrete logarithms are preser ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011

Epigenetic regulation of gene expression in physiological and pathological brain processes

Johannes Gräff

Over the past decade, it has become increasingly obvious that epigenetic mechanisms are an integral part of a multitude of brain functions that range from the development of the nervous system over basic neuronal functions to higher order cognitive process ...

2011

Complex logarithm

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Breaking `128-bit Secure' Supersingular Binary Curves

Breaking `128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in $\mathbb{F}_{2^{4 \cdot 1223}}$ and $\mathbb{F}_{2^{12 \cdot 367}}$)

Elliptic and Hyperelliptic Curves: A Practical Security Analysis

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

Solving a $6120$-bit DLP on a Desktop Computer

Reconstructing Loopy Curvilinear Structures Using Integer Programming

The Golgi apparatus: an organelle with multiple complex functions

Decoding of grasping information from neural signals recorded using peripheral intrafascicular interfaces

Faster and Smoother - VSH Revisited

Epigenetic regulation of gene expression in physiological and pathological brain processes

Breaking `128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in $\mathbb{F}_{2^{4 \cdot 1223}}$ and $\mathbb{F}_{2^{12 \cdot 367}}$)

Breaking `128-bit Secure' Supersingular Binary Curves

Reconstructing Loopy Curvilinear Structures Using Integer Programming

The Golgi apparatus: an organelle with multiple complex functions

Elliptic and Hyperelliptic Curves: A Practical Security Analysis

On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in $\mathbb{F}_{2^{1971}}$ and $\mathbb{F}_{2^{3164}}$

Solving a $6120$-bit DLP on a Desktop Computer

Decoding of grasping information from neural signals recorded using peripheral intrafascicular interfaces

Epigenetic regulation of gene expression in physiological and pathological brain processes

Faster and Smoother - VSH Revisited