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Q1) Consider a simple symmetric encryption algorithm as follows:
1- Input text T and 64 bit key K
2- Divide T into 64 bit size blocks B1...Bn
3- Get first block B1 and perform bit-wise XOR with K to produce encrypted block E1
4- Repeat
a. Get next block Bi and perform bit-wise XOR with Ei-1 to produce encrypted block Ei
5- Until End of Text. The algorithm is very simple, and naturally, we do not expect the cyphertext to be cryptographically strong. Given the above algorithm answer the following:
(a) Is it a problem if the first block of input happens to be the same as the key? Explain why?
(b) Modify the algorithm to rectify the above problem.
Divide 16 digit value N by six digit integer D obtaining quotient Q and remainder (or sign of the remainder) R by division algorithms.
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Provides learners with an understanding of how data structures are used in algorithms and enables them to design and implement data structures
Using any programming language to implement iterative version of algorithm HEAPIFY. Show your algorithm by running it on the array that contain your name characters.
Suppose that all element values are equal. What would be randomized quick sort's running time in this case? Each element of A[p .. q-1] is less than A[q], and each element of A[t+1 .. r] is greater than A[q]
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Describe the algorithm in psuedo-code. You should give thought to what data structures(s) make sense for e client implementation. Determine computational complexity of your algorithm.
Write down algorithm, using pseudocode, to perform the following task, Given a string of numbers, recognize all of the substrings that form numbers that are divisible by 3.
Generalize the 2-3 algorithms for INSERT and DELETE to K-J trees, where non-leaf vertices have between K and J children for fixed integers K >=2, and J>= 2K-1.
Compute the entropy of the plaintext message?
Illustrate that if you were given a polynomial time algorithm for determining whether two rooted directed acyclic graphs are isomorphic, then polynomial time algorithm for testing.
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