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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 $\mathbb{F}_{2^{3164}}$

Publications associées (33)

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ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~

q

a prime power, the discrete logarithm problem (DLP) in~

\F_{q}

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer~

x

such that

g^x = h

. We present an algorithm for computing discrete logarithm ...

2016

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

Graph Chatbot

Chattez avec Graph Search

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Security in the Presence of Quantum Adversaries

Attacks on some post-quantum cryptographic protocols: The case of the Legendre PRF and SIKE

Computation Of A 30750-Bit Binary Field Discrete Logarithm

On the Security of Two-Round Multi-Signatures

Arithmetic and geometric structures in cryptography

Indiscreet logarithms in finite fields of small characteristic

Indiscreet discrete logarithms

LPN in Cryptography

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Arithmetic and geometric structures in cryptography

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Security in the Presence of Quantum Adversaries

Attacks on some post-quantum cryptographic protocols: The case of the Legendre PRF and SIKE

Computation Of A 30750-Bit Binary Field Discrete Logarithm

On the Security of Two-Round Multi-Signatures

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Indiscreet logarithms in finite fields of small characteristic

Indiscreet discrete logarithms

LPN in Cryptography