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using the extended euclidean algorithm compute the greatest common divisor and the parameters st of1 198 and 2432 1819
understanding the functionality of groups cyclic groups and subgroups is important for the use of public-key
in this exercise you are asked to attack an rsa encrypted message imagine being the attacker you obtain the ciphertext
in this exercise we illustrate the problem of using nonprobabilistic cryptosystems such as schoolbook rsa imprudently
advanced problem there are ways to improve the square-and-multiply algorithm that is to reduce the number of operations
as we have seen in this chapter public-key cryptography can be used for encryption and key exchange furthermore it has
in this problem we want to compare the computational performance of symmetric and asymmetric algorithms assume a fast
verify that eulers theorem holds in zm m 69 for all elements a for which gcdam 1 also verify that the theorem does
we now show how an attack with chosen ciphertext can be used to break an rsa encryption1 show that the multiplicative
in sect 1013 we state that sender or message authentication always implies data integrity why is the opposite true too
we investigate the weaknesses that arise in elgamal encryption if a public key of small order is used we look at the
after the dhke alice and bob possess a mutual secret point r xy the modulus of the used elliptic curve is a 64-bit
given is a dhke algorithm the modulus p has 1024 bit and alpha is a generator of a subgroup where ordalpha asymp 21601
in the dhke protocol the private keys are chosen from the setwhy are the values 1 and p - 1 excluded describe the
one of the earlier applications of cryptographic hash functions was the storage of passwords for user authentication in
describe how exactly you would perform a collision search to find a pair x1 x2 such that hx1 hx2 for a given hash
in this problem we will examine why techniques that work nicely for error correction codes are not suited as
in an rsa digital signature scheme bob signs messages xi and sends them together with the signatures si and her public
design a security service that provides data integrity data confidentiality and nonrepudiation using public-key
pretty good privacy pgp is a widespread scheme for electronic mail security to provide authentication and
we consider certificate generation with ca-generated keys assume the second transmission of certa kpra takes place over
we reconsider the diffie-hellman key exchange protocol assume now that oscar runs an active man-in-the-middle attack
imagine a peer-to-peer network where 1000 users want to communicate in an authenticated and confidential way without a
in this exercise we want to analyze some variants of key derivation in practice one masterkey kmk is exchanged in a
1 what is the difference between a threat agent and a threat2 what is the difference between vulnerability and