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1. Decryption Speed
A certain cryptography vendor was providing an encryption technology that was breakable within 10 hours. Considering the continuous increase in computer speed, the company decided to increase the size of the encryption key so that the time to break the encryption become more than 250 hours. What should be the minimum key size increase to meet this objective?
Hint: Normally, the increase of a single bit in the size of the encryption key doubles the amount of needed computations.
2. Diffie-Hellman
You have agreed with your friend X that you will use the Diffie-Hellman public-key algorithm to exchange secret keys. You and X have agreed to use the public base g = 19 and public modulus p = 739. You have secretly picked the value SA = 5. You begin the session by sending X your calculated value of TA. X responds by sending you the value TB = 167. What is the value of your shared secret key? Show all your work.
3. Encryption
In a given encryption system where the messages are expressed only as numbers and "e" is an integer.
cyphertext = Part One: {int[(plaintext)^(1/e)]} Part Two: {plaintext -{int [(plaintext)^(1/e)]}^e}
Show how the recipient of the message, who knows "e", produces the plaintext.
Write the algorithm which will prompt for and accept four numbers, sort them into ascending sequence and display them to screen. Your algorithm is to include module called Order _two_numbers.
For a message, he computes the hash value H = (VChar 1 x VChar 2 x VChar 3 ...x VChar N) mod(26).
Show that there exist an infinite number of optimal dynamic-priority scheduling algorithms. (Hint: Use the fact that both EDF and LLF are optimal).
An undirected graph G is called bipartite if its vertices can be partitioned into two sets X and Y such that every edge in G has one end vertex in X and one end vertex in Y
Write an algorithm called "Find-G" to nd a maximally-general consistent hypothesis. You can assume the data will be noise-free and that the target concept is in the hypothesis space.
Create a PDA with 2 stacks. The first stack is preloaded with data (example below), the data input consists of 1 & 0 as well. Your PDA should process the input data, adding the binary string to the values in the first stack and storing the result in ..
Write the algorithm, by using pseudo code, to do the following task. Given string of numbers, identify all the substrings which form numbers that are divisible by 3.
In order to make the SQL select statements that would manufacture running summary files for reports of the above; how would you answer the questions below?
Determine when a typical database is created the structure is constructed before the data is actually loaded into the database. What problems exist when someone wishes to add or delete from the existing structure?
If we presently have n items in the dynamic array, how many doubling operations will we have executed so far? Explain this as Big Oh in terms of n.
Determine correct public keys for other party, and assuming that Eve can intercept any messages.
Discuss the difference between a workbook and a worksheet and explain why would you want to use individual worksheets when using Excel?
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