<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Random number generators represent one of basic cryptographic primitives used in creating cryptographic protocols. Their security evaluation represents very important part in the design, implementation and employment phase of the generator. One of important security requirements is the existence of a mathematical model describing the physical noise source and the statistical properties of the digitized noise derived from it. The aim of this paper is to propose the model of a class of generators using two jittery clocks with rationally related frequencies. The clock signals with related frequencies can be obtained using phase-locked loops, delay-locked loops or ring oscillators with adjusted oscillation periods. The proposed mathematical model is used to provide entropy per bit estimators and expected bias on the generated sequence. The model is validated by hardware experiments.</p></abstract>

Random number generators represent one of basic cryptographic primitives used in creating cryptographic protocols. Their security evaluation represents very important part in the design, implementation and employment phase of the generator. One of important security requirements is the existence of a mathematical model describing the physical noise source and the statistical properties of the digitized noise derived from it. The aim of this paper is to propose the model of a class of generators using two jittery clocks with rationally related frequencies. The clock signals with related frequencies can be obtained using phase-locked loops, delay-locked loops or ring oscillators with adjusted oscillation periods. The proposed mathematical model is used to provide entropy per bit estimators and expected bias on the generated sequence. The model is validated by hardware experiments.

Mathematical model of physical RNGs based on coherent sampling

Université de Lyon, CNRS, UMR 5516, Laboratoire Hubert Curien, F–42000 Saint-Étienne, FRANCE

Tatra Mountains Mathematical Publications

{"article-title":"Mathematical model of physical RNGs based on coherent sampling"}

Random number generators represent one of basic cryptographic primitives used in creating cryptographic protocols. Their security evaluation represents very...

Mathematical model of physical RNGs based on coherent sampling

Published Online: Nov 12, 2012

Page range: 1 - 14

DOI: https://doi.org/10.2478/v10127-010-0001-1

Keywords
physical random number generators, stochastic model, random jitter, applied cryptography, data security, hardware architectures.

This content is open access.

Mathematical model of physical RNGs based on coherent sampling

Published Online: Nov 12, 2012

Page range: 1 - 14

DOI: https://doi.org/10.2478/v10127-010-0001-1

Keywordsphysical random number generators, stochastic model, random jitter, applied cryptography, data security, hardware architectures.

This content is open access.

Keywords
physical random number generators, stochastic model, random jitter, applied cryptography, data security, hardware architectures.