Predicting the elliptic curve congruential generator
L Mérai - Applicable Algebra in Engineering, Communication …, 2017 - Springer
Let p be a prime and let EE be an elliptic curve defined over the finite field F _p F p of p
elements. For a point G ∈ E (F _p) G∈ E (F p) the elliptic curve congruential generator (with …
elements. For a point G ∈ E (F _p) G∈ E (F p) the elliptic curve congruential generator (with …
On the elliptic curve endomorphism generator
L Mérai - Designs, Codes and Cryptography, 2018 - Springer
For an elliptic curve EE over a finite field we define the point sequence (P_n)(P n)
recursively by P_n= ϑ (P_ n-1)= ϑ^ n (P_0) P n= ϑ (P n-1)= ϑ n (P 0) with an endomorphism …
recursively by P_n= ϑ (P_ n-1)= ϑ^ n (P_0) P n= ϑ (P n-1)= ϑ n (P 0) with an endomorphism …
Linear complexity of some sequences derived from hyperelliptic curves of genus 2
V Anupindi, L Mérai - Cryptography and Communications, 2022 - Springer
For a given hyperelliptic curve C over a finite field with Jacobian JC, we consider the
hyperelliptic analogue of the congruential generator defined by W n= W n− 1+ D for n≥ 1 …
hyperelliptic analogue of the congruential generator defined by W n= W n− 1+ D for n≥ 1 …
Secure simultaneous bit extraction from Koblitz curves
Secure pseudo-random number generators (PRNGs) have a lot of important applications in
cryptography. In this paper, we analyze a new PRNG related to the elliptic curve power …
cryptography. In this paper, we analyze a new PRNG related to the elliptic curve power …
Linear Complexity of Sequences Derived From Hyperelliptic Curves of Genus 2/submitted by Vishnupriya Anupindi
V Anupindi - 2022 - epub.jku.at
Pseudorandom sequences, that is, sequences which are generated with deterministic
algorithms but look random, have many applications, for example in cryptography, in …
algorithms but look random, have many applications, for example in cryptography, in …