In this paper we study the linear congruential generator on elliptic curves from the
cryptographic point of view. We show that if sufficiently many of the most significant bits of …

Linear feedback shift registers (LFSRs) over integer residue rings are widely used to
generate pseudorandom number, such as ZUC algorithm, truncated LCGs, truncated MRGs …

Multiple recursive generators are an important class of pseudorandom number generators
which are widely used in cryptography. Methods to predict the whole sequences by the …

Multiple recursive generators with constant, as the high-order extension of linear
congruence generators, form an important class of pseudorandom number generators that …

We analyze the security of two number-theoretic pseudo-random generators based on
elliptic curves: the elliptic curve linear congruential generator and the elliptic curve power …

In this paper we present, using the arithmetic of elliptic curves over finite fields, an algorithm
for the efficient generation of a sequence of uniform pseudorandom vectors in high …

In this paper we present, using the arithmetic of elliptic curves over finite fields, an algorithm
for the efficient generation of a sequence of uniform pseudorandom vectors in high …

In this paper we study the linear congruential generator on elliptic curves from the
cryptographic point of view. We show that if sufficiently many of the most significant bits of …

Pseudorandom sequences, that is, sequences which are generated with deterministic
algorithms but look random, have many applications, for example in cryptography, in …

In this paper, we present a new approach of image encryption using a stream ciphering
model. The proposed pseudo-random number generator is based on combination of …