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1 Montgomery Modular Multiplication in Hard- ware

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FEI KEMT<br />

Figure 6 – 13 Amount of sampled ones dur<strong>in</strong>g 1000 sampl<strong>in</strong>g periods accord<strong>in</strong>g to temperature<br />

for chosen sample positions <strong>in</strong> TRNG with configuration B.<br />

tistical <strong>in</strong>dependence between the critical samples. The model was confirmed <strong>in</strong><br />

empirical way and is valid for small number of critical samples, however, <strong>in</strong> case<br />

of higher number the model is less precise. In order to achieve a better adjusted<br />

model we propose for future research to monitor and analyse the bit sequence at<br />

the output of the sampl<strong>in</strong>g gate, before XOR operation. This k<strong>in</strong>d of measurements<br />

may uncover a possible dependency between the samples.<br />

In the last part of the chapter we presented results of experiments with change-<br />

able temperature of chip with the PLL-TRNG. As a result we propose additional<br />

requirements for the generator design that need to be met <strong>in</strong> order to achieve a<br />

robustness of the design. We can conclude that configurations with more than 10<br />

highly critical samples per edge behave reliably even <strong>in</strong> chang<strong>in</strong>g environment. The<br />

bigger are the changes of jitter amplitude the bigger are changes <strong>in</strong> the histogram of<br />

jitter and that has direct negative impact on statistical properties of the generated<br />

sequence.<br />

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