HAL Archives 2025

Boltzmann Samplers for the Hadamard Product of Combinatorial Classes

Nasr-allah Hitar, Philippe Duchon

This research explores Boltzmann samplers for combinatorial structures, focusing on the Hadamard product operations. We present efficient algorithms for uniform random sampling of combinatorial objects using Boltzmann distribution principles.

Combinatorics Random Generation Boltzmann Samplers Hadamard Product
HAL Archives 2025

Galois LFSR and Applications in Pseudo-Random Generation

Nasr-allah Hitar

Investigation of Galois Linear Feedback Shift Registers (LFSR) and their applications in pseudo-random number generation. The paper covers mathematical foundations, implementation aspects, and performance analysis of Galois LFSR configurations.

Galois LFSR Pseudo-Random Generation Finite Fields Cryptography

Research Interests

Combinatorics & Random Generation

Boltzmann samplers, combinatorial structures, uniform random sampling algorithms

Algebraic Structures

Galois theory, finite fields, applications in computer science and cryptography

Algorithm Design

Graph theory, complexity analysis, optimization algorithms

Digital Systems

FPGA design, processor architecture, embedded systems