Entropy Model of FIRO-Based TRNGs With Differential Structure
Entropy Model of FIRO-Based TRNGs With Differential Structure
Abstract:
A digital true random number generator (TRNG) based on Fibonacci ring oscillators (FIRO), which boasts high throughput and a high entropy rate, was introduced by Jovan Dj. Golic. However, establishing an entropy model for FIRO-based TRNGS (FIRO-TRNGs) remains a challenging problem. In this paper, we aim at establishing an effective entropy model for the FIRO-TRNGs. To this end: 1) we have confirmed with theoretical analysis and experimental results that the standard entropy model suitable for elementary oscillator-based TRNGs (EO-TRNG) is not effective for assessing the entropy of FIRO-TRNGs due to the effect of flicker noise, and then 2) based on the differential principle, and by incorporating the inherent chaotic characteristics of FIRO-TRNGs, we have proposed a self-sampling FIRO-TRNG and an entropy model for it, finally 3) for providing the design parameters required in the entropy model, we present a measurement circuit for the phase jitter of the FIRO-TRNGs and theoretically derived the conditions for selecting the parameters of the jitter measurement circuit. Exper-imental results indicate that if the sampling is performed using the sampling parameters provided by the entropy model, then the output sequence possesses sufficient entropy. Alternatively, given a lower bound of entropy, an upper bound for the sampled frequency can be derived by using the measured phase jitter.
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Entropy Model of FIRO-Based TRNGs With Differential Structure
