A Physical Approach for Stochastic Modeling of TERO-based TRNG

International audienceSecurity in random number generation for cryptography is closely related to the entropy rate at the generator output. This rate has to be evaluated using an appropriate stochastic model. The stochastic model proposed in this paper is dedicated to the transition effect ring oscillator (TERO) based true random number generator (TRNG) proposed by Varchola and Drutarovsky in 2010. The advantage and originality of this model is that it is derived from a physical model based on a detailed study and on the precise electrical description of the noisy physical phenomena that contribute to the generation of random numbers. We compare the proposed electrical description with data generated in a 28 nm CMOS ASIC implementation. Our experimental results are in very good agreement with those obtained with both the physical model of TERO's noisy behavior and with the stochastic model of the TERO TRNG, which we also confirmed using the AIS 31 test suites

D2.1 - Report on Selected TRNG and PUF Principles

This report represents the final version of Deliverable 2.1 of the HECTOR work package WP2. It is a result of discussions and work on Task 2.1 of all HECTOR partners involved in WP2. The aim of the Deliverable 2.1 is to select principles of random number generators (RNGs) and physical unclonable functions (PUFs) that fulfill strict technology, design and security criteria. For example, the selected RNGs must be suitable for implementation in logic devices according to the German AIS20/31 standard. Correspondingly, the selected PUFs must be suitable for applying similar security approach. A standard PUF evaluation approach does not exist, yet, but it should be proposed in the framework of the project. Selected RNGs and PUFs should be then thoroughly evaluated from the point of view of security and the most suitable principles should be implemented in logic devices, such as Field Programmable Logic Arrays (FPGAs) and Application Specific Integrated Circuits (ASICs) during the next phases of the project

On the Entropy of Oscillator-Based True Random Number Generators under Ionizing Radiation

The effects of ionizing radiation on field-programmable gate arrays (FPGAs) have been investigated in depth during the last decades. The impact of these effects is typically evaluated on implementations which have a deterministic behavior. In this article, two well-known true-random number generators (TRNGs) based on sampling jittery signals have been exposed to a Co-60 radiation source as in the standard tests for space conditions. The effects of the accumulated dose on these TRNGs, an in particular, its repercussion over their randomness quality (e.g., entropy or linear complexity), have been evaluated by using two National Institute of Standards and Technology (NIST) statistical test suites. The obtained results clearly show how the degradation of the statistical properties of these TRNGs increases with the accumulated dose. It is also notable that the deterioration of the TRNG (non-deterministic component) appears before that the degradation of the deterministic elements in the FPGA, which compromises the integrated circuit lifetime.Ministerio de Economía y Competitividad (ESP-2015-68245-C4-1-P)Ministerio de Economía y Competitividad (ESP-2015-68245-C4-4-P)Ministerio de Economía y Empresa (TIN2016-79095-C2-2-R)CAM (S2013/ICE-3095

Side-Channel Analysis of the TERO PUF

Physical Unclonable Functions (PUFs) have the potential to provide a higher level of security for key storage than traditional Non-Volatile Memory (NVM). However, the susceptibility of the PUF primitives to non-invasive Side-Channel Analysis (SCA) is largely unexplored. While resistance to SCA was indicated for the Transient Effect Ring Oscillator (TERO) PUF, it was not backed by an actual assessment. To investigate the physical security of the TERO PUF, we first discuss and study the conceptual behavior of the PUF primitive to identify possible weaknesses. We support our claims by conducting an EM-analysis of a TERO design on an FPGA. When measuring TERO cells with an oscilloscope in the time domain, a Short Time Fourier Transform (STFT) based approach allows to extract the relevant information in the frequency domain. By applying this method we significantly reduce the entropy of the PUF. Our analysis shows the vulnerability of not only the originally suggested TERO PUF implementation but also the impact on TERO designs in general. We discuss enhancements of the design that potentially prevent the TERO PUF from exposing the secret and point out that regarding security the TERO PUF is similar to the more area-efficient Ring Oscillator PUF

Development of The RISC-V Entropy Source Interface

The RISC-V True Random Number Generator (TRNG) architecture breaks with previous ISA TRNG practice by splitting the Entropy Source (ES) component away from cryptographic DRBGs into a separate privileged interface, and in its use of polling. The modular approach is suitable for the RISC-V hardware IP ecosystem, allows a significantly smaller implementation footprint on platforms that need it, while directly supporting current standards compliance testing methods. We describe the interface, its use in cryptography, and offer additional discussion, background, and rationale for various aspects of it. The design was informed by lessons learned from earlier mainstream ISAs, recently introduced SP 800-90B and FIPS 140-3 entropy audit requirements, AIS 31 and Common Criteria, current and emerging cryptographic needs such as post-quantum cryptography, and the goal of supporting a wide variety of RISC-V implementations and applications. Many of the architectural choices result from quantitative observations about random number generators in secure microcontrollers, the Linux kernel, and cryptographic libraries

Análisis de los factores responsables de la evolución de Angiospermas durante el Cuaternario : un estudio macro- y microevolutivo en "Linaria Sect. Supinae"

Programa de Doctorado en Estudios MedioambientalesEn la presente memoria de tesis, se descubren patrones evolutivos de un grupo de plantas con flor formado por la sect. Supinae del género Linaria (Piantaginaceae). Se presentan cinco manuscritos cientlficos en los que se han utilizado distintos niveles taxonómicos (género, sección, subsección,especie y población) como hipótesis evolutivas. Cada manuscrito tiene objetivos específicos relevantes a distintas escalas espaciales y temporales. Se presta especial atención a las consecuencias evolutivas derivadas de las distintas estrategias reproductivas de las especies. Concretamente tras evaluar la monofilia de la sect. Supinae,se discuten los patrones evolutivos relacionados con la hibridación entre especies, la autogamia y la alogamia;además se analiza el papel de los polinizadores en la evolución de algunas especies alógamas. La introducción comienza describiendo herramientas fundamentales utilizadas en la presente memoria de tesis. Posteriormente se resumen el rol que pueden tener las diversas estrategias reproductivas en la evolución de las plantas con flor. Tras la presentación de cinco manuscritos,los resultados principales de esta investigación se discuten en el contexto de la evolución de plantas con flor durante el Cuaternario.Universidad Pablo de Olavide. Centro de Estudios de Postgrad