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though a relationship exists between the values, an attacker will not be able to exploit that relationship. Nonetheless, information is leaking, and it s extremely simple to plug the hole. When you generate a session key, you use a PRNG with a good seed. For the IV or salt, you use a different PRNG seeded with the time of day. You want every IV and salt you use to be unique. To do that, you use a different PRNG with a different salt each time. The time will be different for each instance, so there is a simple seed that will guarantee a different salt and IV each time. In 2, you saw that the time alone is a poor seed. That s because you don t want the attacker to do a brute force attack on the seed to reconstruct the PRNG and then reproduce the secrets generated by the PRNG. But if the thing generated by the PRNG is public, it doesn t matter whether the attacker can reproduce the seed. Knowledge of the seed in this case allows the attacker only to reconstruct a PRNG and reproduce values that have already been made public. So to avoid leaking information, you use two PRNGs: one for generating secrets, and another one for generating salts and IVs. For performance reasons, you shouldn t waste time collecting a good seed for the PRNG that generates the salt and IV; simply use the time. It s fast, and it guarantees different output each time you use the PRNG.
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Tamper-resistant Hardware*
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In 3, you learned that some hardware devices are built to be tamper-resistant. Usually this means that they detect when someone is trying to access data through some means other than normal channels. How can these devices be made tamper-resistant Many techniques are used to make hardware tamper-resistant. Some of these techniques are intended to thwart direct attempts at opening a device and reading information from its memory; others offer protection against subtler attacks, such as timing attacks and induced hardwarefault attacks.
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*(Source: RSA Labs)
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Appendix C
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At a very high level, here are a few general techniques used to make devices tamper-resistant:
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I I I I I
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Employing sensors of various types (for example, light, temperature, and resistivity sensors) to detect malicious probing Packing device circuitry as densely as possible (dense circuitry makes it difficult for attackers to use a logic probe effectively) Using error-correcting memory Using nonvolatile memory so that the device can tell whether it has been reset (or how many times it has been reset) Using redundant processors to perform calculations and ensuring that all the calculated answers agree before outputting a result
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4 describes the RSA digital envelope, in which a session key is encrypted with an RSA public key. The RSA public exponent is often 3, which means that to encrypt data, you treat the session key as a number and raise it to the 3rd power modulo the modulus. That s the same as finding s s s mod n, where s is the session key as a number, and n is the modulus. Most RSA keys are 1,024 bits, so the modulus is 1,024 bits long. Modular multiplication means that the answer will always be less than the modulus. You compute the product, and if it is less than the modulus, there s no more work; if it s greater than the modulus, you reduce the result. To reduce a number means that you divide the intermediate result by the modulus and take the remainder as the answer. For example, 10 10 mod 35 100 mod 35 rem (100 35) 30
Because 10 35 is 2 with a remainder of 30 (100 2 35 100 70), the answer is 30. The number 100 has been reduced to 30 modulo 35. This reduction is essentially the reason RSA (and Diffie-Hellman and DSA) is secure. You compute an intermediate value and then reduce it. The attacker may know what the reduction is, but what was the intermediate value If the attacker knows the intermediate value, it would not be hard to find the original number, but for each final number there are simply far too many possible intermediate values. That is, with big enough
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