1. Design and Implementation of a True Random Number Generator Based on Digital Circuit Artifacts Michael Epstein 1, Laszlo Hars 2, Raymond Krasinski 1, Martin Rosner 3 and Hao Zheng 4 (1) Philips Electronics, Philips Intellectual Property and Standards, 345 Scarborough Road, Briarcliff Manor, NY 10510, (2) Seagate Technology, 1251 Waterfront Place Pittsburgh, PA 15222, (3) Philips Electronics, Philips Research, 345 Scarborough Road, Briarcliff Manor, NY 10510, (4) ActiveEye, 286 Broadway, Pleasantville, NY 10570, Presented by: Karandeep Singh

2. ENEE 698B2 Introduction True random numbers are critical in many applications –Cryptography –Statistical sampling –Simulations Current random number generators are difficult to integrate in ICs –‘Analog Noise’ based random number generators are not area or power efficient –Generators based on other physical phenomena don’t provide easy interface to electronic devices

3. ENEE 698B3 Background Authors propose a random number generator that consists of only digital circuit elements –Uses elements from standard libraries –Utilizes standard placement tools Designed and implemented a prototype chip with nine distinct random number generators Generated numbers were tested using the ‘DIEHARD’ suite of tests

4. ENEE 698B4 Circuit Description Design consists of two inverters and four switches Based on switch positions, circuit can either be a pair of ring oscillators or a bi-stable memory device

5. ENEE 698B5 Basic Concepts - Metastability Digital circuits are normally predictable, but under certain conditions they are unpredictable Digital flip-flop or a latch may exhibit unpredictable behavior (metastability) in response to certain inputs –Pair of logic gates with feedback –Have unpredictable or oscillatory output for certain inputs Three uncertainties –Whether circuit will enter a metastable state –The final state the flip-flop would settle into –Length of time that circuit remains metastable

6. ENEE 698B6 Metastability Recovery from metastable state displayed on a TDS7254 Tektronix oscilloscope Lower intensity (lighter traces) shows more frequent signal traces

7. ENEE 698B7 Basic Concepts - Oscillator jitter and drift Clock period is never a precise constant, the oscillating signal has slight changes of phase –Such perturbations are called jitter –Some components of jitter are random Design uses two free-running oscillators, which are allowed to drift from each other Resulting phase jitter utilized as a source of randomness Instantaneous voltage is latched by a digital bi-stable circuit, capturing the random state

8. ENEE 698B8 Theory of Operation Because of positive feedback the outputs of the inverters eventually resolve, by clipping, to a consistent logic state This final logic state creates one random bit. Switches 1 and 4 are closed while switches 2 and 3 are open: inverters form two independent, free-running ring oscillators Switches 1 and 4 are opened while switches 2 and 3 are closed: the connected inverters form a bi-stable memory device

9. ENEE 698B9 Integrated Circuit Design An IC containing nine distinct styles of RNGs was constructed Each style was replicated in 15 to 31 different varieties for a total of 247 distinct RNGs All gates were drawn from a standard 0.18 micron CMOS library and laid out automatically Every variety from a particular style was also connected to a network of XOR gates – Combines all of the varieties of a style into a single output Selection of various RNG designs was designated through multiple levels of multiplexers

10. ENEE 698B10 Circuit Details ‘Select’ signal is used to drive the multiplexers that choose between acquisition and oscillation phase of the random number generator –When the select signal is high circuit is in oscillation state and each inverter operates independently –When the select line goes low the circuit is in the bi-stable configuration and resolves to a single value, either a 1 or 0, via metastable oscillations The rising edge of the select signal can be used to acquire the random bit

11. ENEE 698B11 Data Gathering and Analysis For each RNG, a sequence of 80 megabits was collected Each sequence was submitted to DIEHARD tests for evaluation Collection of 16 tests that produce 215 results (Pvalues) Pvalue = F i (X), i = 1 to 215 –F i seeks to establish a distribution function of sample random variable X For a random sequence only few Pvalues of should be close to 0 or 1

12. ENEE 698B12 Results Only two designs passed the DIEHARD tests

13. ENEE 698B13 Results with Varying Voltage To simulate real world conditions, circuit was tested at various voltages

14. ENEE 698B14 Conclusions Authors demonstrate a practical and power efficient RNG –Uses standard digital gates –Uses standard layout tools Stable over large changes in operating voltage Likely to have good resistance to attacks by variation in voltage or temperature