Publications associées à Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

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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

Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions

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Arithmetic and geometric deformations of threefolds

Lattice packings through division algebras

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

Computation Of A 30750-Bit Binary Field Discrete Logarithm

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

Arithmetic and geometric structures in cryptography

Indiscreet discrete logarithms

Short Stickelberger Class Relations and Application to Ideal-SVP

Computational Aspects of Jacobians of Hyperelliptic Curves

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Computation Of A 30750-Bit Binary Field Discrete Logarithm

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

Lattice packings through division algebras

Arithmetic and geometric deformations of threefolds

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

Indiscreet discrete logarithms

Arithmetic and geometric structures in cryptography

Computational Aspects of Jacobians of Hyperelliptic Curves

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Short Stickelberger Class Relations and Application to Ideal-SVP