In this paper a novel family of maximum-period Nonlinear Congruential Generators (NLCGs) based on the digitized Renyi chaotic map is considered for the definition of hardware-efficient Pseudo Random Number Generators (PRNGs). In detail, a theoretical result is provided about the periodicity of the output sequences generated by the proposed NLCGs. Moreover, the distribution of the generated numbers is discussed, comparing the results obtained the proposed NLCGs with those obtainable from traditional PRNGs based on linear recurrences methods.
Addabbo, T., Fort, A., Rocchi, S., Vignoli, V. (2007). On the Generation of Pseudo-Random Sequences exploting Digitized Chaotic Systems. In 18th European Conference on Circuit Theory and Design (ECCTD 2007) (pp.639-642) [10.1109/ECCTD.2007.4529677].
On the Generation of Pseudo-Random Sequences exploting Digitized Chaotic Systems
ADDABBO, TOMMASO;FORT, ADA;ROCCHI, SANTINA;VIGNOLI, VALERIO
2007-01-01
Abstract
In this paper a novel family of maximum-period Nonlinear Congruential Generators (NLCGs) based on the digitized Renyi chaotic map is considered for the definition of hardware-efficient Pseudo Random Number Generators (PRNGs). In detail, a theoretical result is provided about the periodicity of the output sequences generated by the proposed NLCGs. Moreover, the distribution of the generated numbers is discussed, comparing the results obtained the proposed NLCGs with those obtainable from traditional PRNGs based on linear recurrences methods.
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https://hdl.handle.net/11365/34885
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