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1. (a) List the field elements of Z2[X] (mod X3+X+1), i.e., all polynomials over Z2[X] of degree ≤ 2.
(b) Construct the multiplication table for Z2[X] (mod X3 + X + 1). Make sure to label the rows and columns with the field elements from part (a). Also make sure that all of the entries in the table are listed in part (a).
2. Compute the output of the AES S-box on input 10110010 by working through the mathematical definition of the S-box. That is, view this input an element of GF(28), compute the inverse of this field element using the extended Euclidean algorithm, view this element as a bit vector, multiply this vector by the matrix on page 103, and add vector (1,1,0,0,0,1,1,0). View the resulting vector as a byte. This is the output of the S-box. Give all your calculations.
In how many diferent ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Use the definition of big-O to prove that 3n+2logn = O(n) - Please show me all the working and provide the answer and provide the proper C & K Constants.
Suppose that an integer variable m contains the value 90 (i.e; int n = 90 ;). Write the printf statement so that it produces the output90% usually means a A grade.
What are active and passive components? Categorise the following components into these categories. Mettalized polyster capacitor, Preset Filter circuits, Audio-frequency chokes, FET, Vacuum tubes.
Discuss how you would configure your Linux distribution to perform name resolution using DNS.
Consider the difference between a standard rule-based expert system and a fuzzy expert system.
1) What is the expected value of the company in one year, with and without expansion? Would the company's stockholders be better off with or without expansion? 2) What is the expected value of the company's debt in one year, with and without the ex..
Design a file system checker for our file system. You should call it csefsck. It will have to do the following: The DeviceID is correct All times are in the past, nothing in the future Validate that the free block list is accurate this includ..
Consider an automated teller machine (ATM) in which users provide a personal identification number (PIN) and a card for account access. Give examples of confidentiality, integrity, and availability requirements associated with the system and, in e..
Which value of border-collapse will give each cell of a table a border that can be specified independently of adjacent cells?
Hint: Assume without loss of generality that the primal is feasible (take si = 0 if necessary), and note that all forward cycles have nonnegative cost if and only if the primal problem is not unbounded (see the discussion near the beginning of Sec..
1-Relationnal database design: (Relationnal database design )Given the following table that keeps track of student clubs memberships: StuentClub( S
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