Publications associées à Function Field Sieve in Characteristic Three

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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

Function Field Sieve in Characteristic Three

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Some Mordell-Weil lattices and applications to sphere packings

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

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Arithmetic and geometric structures in cryptography

Indiscreet logarithms in finite fields of small characteristic

Indiscreet discrete logarithms

Isogeny graphs of ordinary abelian varieties

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Computational Aspects of Jacobians of Hyperelliptic Curves

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Isogeny graphs of ordinary abelian varieties

Arithmetic and geometric structures in cryptography

Indiscreet logarithms in finite fields of small characteristic

Indiscreet discrete logarithms

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

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Computational Aspects of Jacobians of Hyperelliptic Curves

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Some Mordell-Weil lattices and applications to sphere packings