By Çetin Kaya Koç (auth.), Çetin Kaya Koç (eds.)
Cryptographic Engineering covers the speculation and perform of engineering of cryptographic platforms, together with encryption and decryption engines, electronic signature and authentication structures, actual random quantity turbines, and the layout, implementation, checking out, and validation of cryptographic platforms. This publication additionally addresses cryptanalysis of protection structures for the aim of checking their robustness and their energy opposed to assaults, and construction countermeasures so as to thwart such assaults via lowering their likelihood of luck.
The fabric contains 4 vital features:
- ASIC and FPGA layout for cryptography,
- Principles and perform of real random quantity generators,
- Detailed algorithmic remedy of public-key cryptographic platforms and emphasis at the engineering of structures, and
- Side-channel assaults on cryptographic structures and countermeasure designs.
Cryptographic Engineering is a entire textual content that's appropriate as a instruction manual for and software program engineers who're drawn to construction safe platforms utilizing cryptographic techniques.
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Additional resources for Cryptographic Engineering
For u ≥ 0 we define V(u) := inf τ ∈ IN | τ +1 ∑ Tj > u = sup τ ∈ IN | j=1 τ ∑ Tj ≤ u . 15) j=1 Straightforward considerations lead to Prob(V(u) = k) = Prob (T1 + · · · + Tk ≤ u) − Prob(T1 + · · · + Tk+1 ≤ u) Prob(V(u) = 0) = 1 − Prob(T1 ≤ u) , and for k ≥ 1 Prob(V(u) = ∞) = 0. 16) Let μ := E(T1 ) and σT2 := Var(T1 ) < ∞. 17) i=2 denotes the generalized variance of the random variables T1 , T2 , . .. Assume further that E|T13 | < ∞. 18) (for details, see [17, 21], for instance). 17) are identical zero for i > q.
Of course, the concrete implementation, the operating system, and the programs that run on the computer also play a role. From the view of security evaluation, the situation becomes even worse if parts of the raw bit string are derived from the interaction of the user (key strokes, mouse movement). Generally speaking, for NPTRNGs the knowledge of the adversary plays an important role. This may concern technical issues such as the operating system or the used configuration of the attacked system; or the time stamp of an e-mail may provide a rough estimate for the time when the random number was generated.
Xb ) and (Xc , . . , Xd ) are independent if a < b < c < d and c − b > 1. Show that log2 (wα (X1 , . . , Xn )) ≈ H(X1 , . . , Xn ) for any fixed α if n is sufficiently large. 9. 14). 10. 11. Assume that the designer adds the absolute time at system start to the raw bit string. Does this increase the security of the NPTRNG? Explain your answer. 9 Projects 1. Implement a non-physical true random number generator (NPTRNG) on a PC. Try to state and justify lower entropy bounds. Work out the differences between Windows and Linux operating systems.