Jacques Peyrière

collaborators

3 papers

math.RA2026

Fast tensor transforms and ring-valued orthogonal matrices: an application to cryptography

Jacques Peyrière

We present a generalization of the Fast Fourier and fast Walsh transform algorithms to tensor products of $n$ arbitrary $q \times q$ matrices over a commutative ring, reducing the c…

math.CV2026

Blaschke products and unwinding in higher dimensions

Ronald R. Coifman, Jacques Peyrière

We give a necessary and sufficient condition for the convergence of an infinite product of rational inner functions on the polydisk, and explore generalization to the polydisk of M…

cs.CR2023

Public key cryptosystems based on Iterated Functions Systems

Jacques Peyriere, Fengxia Liu, Zhiyong Zheng +1

Let $f = (f_{0}, f_{1}, \dots, f_{ν - 1})$ be a collection of one-to-one functions from some space~ $X$ into itself such that the sets $f_{j} (X)$ are disjoint. If $w = w_{1} w_{2} \dots w_{k}$ is a word…