Problem 4.11 in the textbook: The MixColumn transformation of AES consists of a matrix-vector multiplication in the field GF(2^8) with P(x)=x^8 +x^4 +x^3 +x+1. Let b =(b7 x^7 +...+b0) be one of the (four) input bytes to the vector-matrix multiplication. Each input byte is multiplied with the constants 01, 02 and 03. Your task is to provide exact equations for calculating the results of those three constant multiplications. We denote the result by d =(d7 x^7 +...+do). 1. Write expressions for computing the 8 bits of d=01 b as functions of the bi's: 7₁d5= do= d1= d2= d3= ₁d4=[ d6= and d7= . 2. Write expressions for computing the 8 bits of d=02 b as functions of the bi's. If a XOR operation of two bits is required write it as, for example, b0+b1. do= d7= 3. Repeat for d=03-b: d0= 1 d1= d2= d2= 1 d3= d3= d4= " d5= d1= d6= and d7= Note: The AES specification uses "01" to represent the polynomial 1. "02" to represent the polynomial x. and "03" to represent x +1. d4= d6= d5= and

Q: 29. Write a user-defined MATLAB function that finds the largest element of a matrix. For the…

A: Solution:   Given, Write a user-defined MATLAB function that finds the largest element of a matrix.…

Q: Write a MATLAB program to define a vector v that takes the values [3 4 5 6 7] and then uses this…

A: Code: v=3:1:7 % av1=(v-1).^(5-v) % bv2=(v.*2)./(v+3) % cv3=-(v-1)…

Q: Consider the following vector (revisit vector generation details before answering):   1      3…

A: The problem is based on the basics of matlab programming language.

Q: E segment. new double [M] [N]; B = new double [M] [N]; A +th

A: #include<stdio.h>  int main() {  /* 2D array declaration*/  int disp[2][3];  /*Counter…

Q: Write a function that diagonally orders numbers in a ʼn x n matrix, depending on which of the four…

A: Algorithm :-  Take's an input from user. Now use the below logic  - ul: n => Array.from({ length:…

Q: Consider the code C: C = {000000, 001011, 010101, 011110,100110, 101101, 110011, 111000} Explain…

A: In coding theory, a coset is a set formed by adding a fixed vector to all the vectors in another…

Q: In elementwise multiplication A.*B each value in one matrix is paired up with a buddy value in the…

A: for first question correct answer is dot(A[1:],B[:1])

Q: Let M be a matrix whose entries are positive integers. What does the following function do? function…

A: Given Code: this code is creating a vector in which ith element is the sum of even element of the…

Q: Define a function ComputeNegations() that takes an input double vector parameter and an output…

A: ComputeNegations( inputVector, negated); for(int i = 0; i < negated.size(); i++)cout <<…

Q: Write a function called rotleft that will receive one row vector as an argument (you may assume…

A: Please find the answer below :

Q: Write a script to add two 20-digit numbers and print the result. This is not as easy as it might…

A: % generate two vectors containing digits from 0 to 9 vec1=randi(9,1,20); % row vector of length 20…

Use of XOR function

XOR function or exclusive OR function was introduced in Excel 2013. This function is available under excel logical functions. For the given statement, the XOR function will return true only when either of the statements is true. It returns false when both the statements are true or when both the statements are false.