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Transcript
ECE 6332: VLSI Design Project Review 1
Chunhu Zhang and Yu Yao
Our research project investigates into the Hardware Random Number Generators (HRNG), which relies
on physical random source to generate true random numbers and serves for cryptographic applications.
PART1: Summaries of Related Publications:
1.
Hardware random number generators, Robert Davis, Statistics Research Associates Limited
This paper assessed several existing commercial HRNG with random source generated from
resistor /semiconductor noise and radioactive decay. A hypothetical HRNG model was proposed:
the analog noise is collected, and fed into an amplifier. Then the amplified analog signal was
digitalized into 0s and 1s. The following corrector makes the data unbiased by bringing the average
value close to 0.5. Finally, the unbiased data serve as the random numbers for application.
The author made statistical test for HRNG and pointed out the ways to find defects. The tests are
conducted on different phases of hypothetical HRNG model. Several defects may worth noticing:
1. the bias may drift over time; 2. the adjacent bits may correlate; 3. new frequency may appear
with external electrical interference; 4 semiconductor noises tends to be of low frequency.
2.
A Noise-Based IC Random Number Generator for Applications in Cryptography
Craig S. Petrie, Member, IEEE, and J. Alvin Connelly, Fellow, IEEE
Three common RNGs are discussed: 1. Direct Amplification; 2. Oscillator Sampling; 3. DiscreteTime Chaos. A new RNG is proposed which combine the advantages of these methods.
The direct amplification method (1) has some intrinsic drawbacks in that it is more vulnerable to
the nonrandom influences coupled into the white noise source. The nonrandom influence must be
at least an order of magnitude below the random noise source for the direct amplification technique
to maintain unaffected. The other two schemes are much more robust and thus have greater
promise for mixed-signal environment. The ring oscillator (2) may not have enough level of jitter
to produce statistical randomness. And the discrete-time chaos (3) obtains the randomness from
robust dynamics rather than from noise, and the limit A/D resolution also brings nonrandomness.
3.
An Integrated Analog/Digital Random Noise Source
W. Timothy Holman, Member, IEEE, J. Alvin Connelly, Fellow, IEEE, and Ahmad B.
Dowlatabadi, Member, IEEE
In this paper, an integrated noise source is generated by amplifying the thermal noise of large
transistors and digitalized to bit stream. There are two available wideband white noises in low
voltage CMOS integrated circuits, the shot noise which is generated by current flowing across the
p-n junction, and the thermal noise which is generated by the random electron motion in a resistor.
4.
The Intel® random number generator
Cryptography Research, Inc. White Paper Prepared for Intel Corporation
Intel RNG adopts the Oscillator Sampling approach, which samples the thermal noise present in
un-driven resistors and reduces the nonrandom influences such as electromagnetic radiation,
temperature, and power supply fluctuation by subtracting the signals sampled from two adjacent
resistors. The thermal noise is used to modulate the frequency of a slower clock so that the slow
oscillator frequency is significantly perturbed by the noise. The fast clock signal is sampled on the
rising edge of the slower clock using flip-flop.
5.
Initial SRAM State as a Fingerprint and Source of True Random Numbers for RFID Tags
Daniel E. Holcomb, Wayne P. Burleson, and Kevin Fu
This paper explores the manufacture-time variation to provide identity and utilizes run-time
physically random noise to produce random numbers within the memory cell. Once the power is
applied, the memory cell that has large transistor threshold mismatches are heavily skewed towards
one state, which can be used for identification/fingerprint; while the one with well matched
thresholds are highly sensitive to noise, which can be used for RNG. However, the drawback is that
only one random number can be generated per power on.
6.
PUF-Based Random Number Generation
Charles W. O’Donnell, G. Edward Suh, and Srinivas Devadas
Leveraging on the variation during manufacturing process, the same PUF structure could behave as
different hash function on chips after manufacture. The silicon PUF explores the circuit delay and
race condition so that given a challenge to the PUF, the response is unique to the chip.
To generate a random number, a confirmed random number is fed into the PUF structure as
challenge and the response from the PUF is unbiased and checked to confirm its randomness. Then
this random number combined with some other data is fed into the PUF again. Through this
iterative procedure, it is believed the PUF can generate random numbers due to the inherent
unpredictability of the PUF response.
PART II Methodology and Simulation:
We plan to test the effects of different approaches to implement HRNG using PTM model and Monte
Carlo simulation. To get familiar with these tools, we studied the cadence SKILL programming
language, the ocean script, the netlist and spectre simulator. We also did the Monte Carlo analysis for a
simple inverter and the Monte Carlo analysis for a memory cell is on the way.
Here attached is the simulation result of Monte Carlo analysis with PTM models using ocean script.
To perform the Monte Carlo analysis for memory cell, we need to extract the netlist for memory cell
and changes the ocean scripts accordingly, especially the parameters for monteCarlo() and monteExpr()
function in the script. We are still working on it and looking through the spectre document which
covers the Monte Carlo Analysis.
PART III Research Plan:
Phase 1: (before proposal)
1. Get familiar with the simulation tools
2. Survey the research in the HRNG area
3. Identify the nondeterministic parts in a typical integrated circuit, such as
 thermal noise, shot noise, flicker noise with resistor
 radioactive decay
 circuit delay, PUF, subthreshold dependency on process variation
 race condition
 crosstalk, power supply noise, substrate noise, clock signal, oscillator jitter
4. Construct a general idea of HRNG
Our general idea is that due to the high sensitivity of subthreshold circuit to the process variation
and noise, it could be useful in generating identity and random source. The advantage of using
subthreshold circuit to generate random number over Initial SRAM State (paper 5) is that
potentially, the subthreshold circuit doesn’t have to power up again everytime to generate a new
random number.
We try to investigate into the possibility of harnessing the vulnerability to noise influence of subthreshold circuits for designing a HRNG. Circuits working in sub-threshold region are especially
prone to be influenced by process variation, noise signal and other environmental randomness. By
combining the design techniques of RNG based on bitcell, PUFs and oscillators, and knowledge
into sub-threshold circuits, we can look into constructing a new HRNG and test its performance.
Phase 2: (after proposal)
1. Experiment and scrutinize several typical approaches in HRNG design and summarize their
pros/cons
2. Complete our design of HRNG
3. Do the simulation to verify our HRNG and compare with others.