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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

Théorie des cribles

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Mass transport of water vapor and ions from Å-scale graphene nanopores

Quadratic Sieving

On The Exponent Of Distribution Of The Ternary Divisor Function

On the Analysis of Public-Key Cryptologic Algorithms

Sign changes of Kloosterman sums with almost prime moduli

Cofactorization on Graphics Processing Units

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

A heterogeneous computing environment to solve the 768-bit RSA challenge

SUPERSYMMETRY PHENOMENOLOGY BEYOND THE MSSM AFTER 5/fb OF LHC DATA

Factorization of a 768-Bit RSA Modulus

Mass transport of water vapor and ions from Å-scale graphene nanopores

Sign changes of Kloosterman sums with almost prime moduli

Quadratic Sieving

On The Exponent Of Distribution Of The Ternary Divisor Function

Factorization of a 768-Bit RSA Modulus

On the Analysis of Public-Key Cryptologic Algorithms

SUPERSYMMETRY PHENOMENOLOGY BEYOND THE MSSM AFTER 5/fb OF LHC DATA

Cofactorization on Graphics Processing Units

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

A heterogeneous computing environment to solve the 768-bit RSA challenge