Chapter 2.docx - HOMEWORK 2 | FUNDAMENTALS OF INFORMATION...

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HOMEWORK 2 | FUNDAMENTALS OF INFORMATION SECURITY | PARISHA JOSHI Answer: The hash function should satisfy following properties from table 11.1: 1)Variable input size, 2) Fixed output size, 3)Efficiency, 4)Preimage resistant, 5)Second preimage resistant, 6)Collision Resistant,7) Pseudorandomness a) -This function can take any size of input, 1 st property - Does not give Fixed output h(M=(2,3))=5 and h( M=(23,24))=47 - Is efficient because it is incredibly easy to compute the hash value with hardware and software.But the storage and processing requirement increases with value of number of inputs. - IS not preimage resistant - Is not second preimage resistant because it is easy to find a pair which can have same hash value for example h(M=2,3) = h(M=1,4)= 5 - Is not collision Resistant because it is not second preimage resistant. b) -This function can take any size of input, 1 st property - Does not give Fixed output - Is efficient because it is incredibly easy to compute the hash value with hardware and software. - Is Preimage resistant if t>=n and is large composite number. - Is not second preimage resistant because it is easy to find a pair which can have same hash value h(M=3,4)mod 26=25 = h(M=0,5)mod26. so n needs to be smaller than t to make the hash more complicated.

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• Fall '19
• Cryptography, Encryption, Error detection and correction, Cryptographic hash function

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