Publications associées à Logarithme complexe

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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

Logarithme complexe

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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

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

Elliptic and Hyperelliptic Curves: A Practical Security Analysis

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

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

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

Reconstructing Loopy Curvilinear Structures Using Integer Programming

Epigenetic regulation of gene expression in physiological and pathological brain processes