Bernadette Faye

activity

20152023

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math.NT2017

Diophantine Equation with Arithmetic functions and Binary recurrent sequences

Bernadette Faye

This thesis is about the study of Diophantine equations involving binary recurrent sequences with arithmetic functions. Various Diophantine problems are investigated and new result…

math.NT2017

On the discriminator of Lucas sequences

Bernadette Faye, Florian Luca, Pieter Moree

We consider the family of Lucas sequences uniquely determined by $U_{n + 2} (k) = (4 k + 2) U_{n + 1} (k) - U_{n} (k),$ with initial values $U_{0} (k) = 0$ and $U_{1} (k) = 1$ and $k \geq 1$ an arbitrary inte…

cs.CR2017

Extracting a uniform random bit-string over Jacobian of Hyperelliptic curves of Genus $2$

Bernadette Faye

Here, we proposed an improved version of the deterministic random extractors $S E J$ and $P E J$ proposed by R. R. Farashahi in \cite{F} in 2009. By using the Mumford's representation…

Diophantine Equation with Arithmetic functions and Binary recurrent sequences

On the discriminator of Lucas sequences

Extracting a uniform random bit-string over Jacobian of Hyperelliptic curves of Genus 2

Extracting a uniform random bit-string over Jacobian of Hyperelliptic curves of Genus $2$