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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

Virgule fixe

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

Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization

Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization

Data Mapping for Unreliable Memories

Synthesis of uniform amplitude focused beam arrays

Vectors in a box

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

RRB-Trees: Efficient Immutable Vectors

HW-SW Implementation of a Decoupled FPU for ARM-based Cortex-M1 SoCs in FPGAs

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

Piercing Quasi-Rectangles: On a Problem of Danzer and Rogers

Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization

Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization

Vectors in a box

HW-SW Implementation of a Decoupled FPU for ARM-based Cortex-M1 SoCs in FPGAs

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Data Mapping for Unreliable Memories

Synthesis of uniform amplitude focused beam arrays

RRB-Trees: Efficient Immutable Vectors