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Symmetric Encryption Consider the following definition of a hash function based on a cryptographic algorithm. Let K be a given cryptographic key and M =

Symmetric Encryption
Consider the following definition of a hash function based on a cryptographic algorithm. Let
K be a given cryptographic key and M=M1M2cdotsMn(with n1) be a message where
M1,dotsMn are blocks of the same length:
H(M1)=E(K,M1)
H(M1cdotsMiMi+1)=E(K,H(M1cdotsMi)o+Mi+1) for i=1,dots,n-1
The schema is not secure. Show that given a message A1A2 and an arbitrary block B1 it is
possible to determine a block B2 such that H(B1B2)=H(A1A2), i.e.H is not weak collision
resistant.
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